ORIGINAL_ARTICLE
Generalized notion of character amenability
This paper continues the investigation of the rst author begun in part one. The hereditary properties of n-homomorphism amenability for Banach algebras are investigated and the relations between n-homomorphism amenability of a Banach algebra and its ideals are found. Analogous to the character amenability, it is shown that the tensor product of two unital Banach algebras is n-homomorphism amenable if and only if each one is n-homomorphism amenable.
http://jlta.iauctb.ac.ir/article_510021_033cdfd7182e97b7f170911bd9233425.pdf
2013-12-24T11:23:20
2018-08-19T11:23:20
191
200
amenability
contractibility
n-homomorphism
A.
Bodaghi
abasalt.bodaghi@gmail.com
true
1
Department of Mathematics, Garmsar Branch, Islamic Azad University,
Garmsar, Iran
Department of Mathematics, Garmsar Branch, Islamic Azad University,
Garmsar, Iran
Department of Mathematics, Garmsar Branch, Islamic Azad University,
Garmsar, Iran
LEAD_AUTHOR
F.
Anousheh
true
2
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
AUTHOR
S.
Etemad
true
3
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
AUTHOR
[1] A. Bodaghi, n-homomorphism amenability, Proc. Rom. Aca., Series A, 14, No.2 (2013), 101-105.
1
[2] J. Duncan and S. A. Hosseiniun, The second dual of a Banach algebra, Proc. Roy. Soc. Edinburgh Soc., 84A (1979), 309-325.
2
[3] S. Hejazian, M. Mirzavaziri and M. S. Moslehian, n-homomorphisms, Bull. Iran. Math. Soc., 31, No. 1 (2005), 13-23.
3
[4] B. E. Johnson, Cohomology in Banach algebras, Mem. Amer. Math. Soc., 127(Providence, 1972).
4
[5] Z. Hu, M. S. Monfared and T. Traynor, On character amenable Banach algebras, Studia Math., 193 (2009), 53-78.
5
[6] E. Kaniuth, A. T. Lau, and J. Pym, On φ-amenability of Banach algebras, Math. Proc. Cambridge Philos. Soc., 144 (2008), 85-96.
6
[7] E. Kaniuth, A. T. Lau and J. Pym, On character amenability of Banach algebras, J. Math. Anal. Appl., 344 (2008), 942-955.
7
[8] M. S. Monfared, Character amenability of Banach algebras, Math. Proc. Camb. Phil. Soc., 144 (2008), 697-706.
8
ORIGINAL_ARTICLE
Operator-valued bases on Hilbert spaces
In this paper we develop a natural generalization of Schauder basis theory, we term operator-valued basis or simply ov-basis theory, using operator-algebraic methods. We prove several results for ov-basis concerning duality, orthogonality, biorthogonality and minimality. We prove that the operators of a dual ov-basis are continuous. We also dene the concepts of Bessel, Hilbert ov-basis and obtain some characterizations of them. We study orthonormal and Riesz ov-bases for Hilbert spaces. Finally we consider the stability of ov-bases under small perturbations. We generalize a result of Paley-Wiener [4] to the situation of ov-basis.
http://jlta.iauctb.ac.ir/article_510022_6baf619a1cbe13440723e3b77b58e7c5.pdf
2014-01-01T11:23:20
2018-08-19T11:23:20
201
218
ov-bases
dual ov-bases
Bessel ov-bases
Hilbert ov-bases
ov-biorthogonal sequence
M. S.
Asgari
msasgari@yahoo.com
true
1
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
LEAD_AUTHOR
[1] M. S. Asgari, H. Rahimi, Generalized frames for operators in Hilbert spaces, Inf. Dim. Anal. Quant. Probab. Rel. Topics, Vol. 17, No. 2, (2014), 1450013-1 - 1450013-20.
1
[2] W. Rudin, Functional Analysis,McGrawHill. Inc, New York, (1991).
2
[3] W. Sun, G-frames and G-Riesz bases, J. Math. Anal. Appl. (2006), 322, 437-452.
3
[4] R. Young, An Introduction to Nonharmonic Fourier Series, Academic Press, New York, (2001).
4
ORIGINAL_ARTICLE
On the Finsler modules over H-algebras
In this paper, applying the concept of generalized A-valued norm on a right $H^*$-module and also the notion of ϕ-homomorphism of Finsler modules over $C^*$-algebras we first improve the definition of the Finsler module over $H^*$-algebra and then define ϕ-morphism of Finsler modules over $H^*$-algebras. Finally we present some results concerning these new ones.
http://jlta.iauctb.ac.ir/article_510023_c61e52e8069e6388fb89f9a704d27133.pdf
2013-12-13T11:23:20
2018-08-19T11:23:20
219
227
$H^*$-algebra
full Finsler module
ϕ-morphism
trace class
F.
Hasanvand
true
1
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
AUTHOR
M.
Khanehgir
khanehgir@mshdiau.ac.ir
true
2
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
LEAD_AUTHOR
M.
Hassani
true
3
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
AUTHOR
[1] W. Ambrose, Structure theorems for a special class of Banach algebras. Transactions of the American Mathematical Society 57, (1945), 364-386.
1
[2] M. Amyari, A. Niknam, A note on Finsler modules. Bulletin of the Iranian Mathematical Society 29, No. 1, (2003) 77-81.
2
[3] M. Amyari, A. Niknam, On homomorphisms of Finsler modules. International Mathematical Journal 3, No. 3, (2003), 277-281.
3
[4] V. K. Balachandran, N. Swaminathan, Real H- algebras. Journal of Functional Analysis 65, No. 1, (1986), 64-75.
4
[5] D. Bakic, B. Guljas, Operators on Hilbert H-modules. Journal of Operator Theory 46, (2001), 123-137.
5
[6] M. Cabrera, J. Martinez and A. Rodriguez, Hilbert modules revisited: Orthonormal bases and Hilbert-Schmidt operators. Glasgow Mathematical Journal 37, (1995), 45-54.
6
[7] N. C. Phillips, N. Weaver, Modules with norms which take values in a C-algebra. Pacic Journal of Mathematics 185, No. 1, (1998), 163-181.
7
[8] P. P. Saworotnow, A generalized Hilbert space. Duke Mathematical Journal 35, (1968), 191-197.
8
[9] P. P. Saworotnow, J. C. Friedell, Trace-class for an arbitrary H*-algebra. Proceedings of the American Mathematical Society 26, (1970), 95-100.
9
[10] J. F. Smith, The structure of Hilbert modules. Journal of the London Mathematical Society 8, (1974), 741-749.
10
[11] A. Taghavi, M. Jafarzadeh, A note on modules maps over Finsler modules. Journal of Advances in Applied Mathematics Analysis 2, No. 2, (2007), 89-95.
11
[12] B. Zalar, Jordan-von Neumann theorem for Saworotnows generalized Hilbert space. Journal of Acta Mathematica Hungarica 69, (1995), 301-325.
12
ORIGINAL_ARTICLE
Numerical solution of second-order stochastic differential equations with Gaussian random parameters
In this paper, we present the numerical solution of ordinary differential equations (or SDEs), from each order especially second-order with time-varying and Gaussian random coefficients. We indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multiplicative noises). Making stochastic differential equations system from this equation, it could be approximated or solved numerically by different numerical methods. In the case of linear stochastic differential equations system by Computing fundamental matrix of this system, it could be calculated based on the exact solution of this system. Finally, this stochastic equation is solved by numerically method like Euler-Maruyama and Milstein. Also its Asymptotic stability and statistical concepts like expectation and variance of solutions are discussed.
http://jlta.iauctb.ac.ir/article_510024_823aac96fae2f3f87efaa45d5f4c3e28.pdf
2014-01-01T11:23:20
2018-08-19T11:23:20
229
241
Stochastic differential equation
Linear equations system
Gaussian random variables
damped harmonic oscillators with noise
multiplicative noise
R.
Farnoosh
true
1
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
AUTHOR
H.
Rezazadeh
hr_rezazadeh@mathdep.iust.ac.ir
true
2
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
LEAD_AUTHOR
A.
Sobhani
true
3
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
AUTHOR
D.
Ebrahimibagha
true
4
Department of Mathematics, Center Branch, Islamic Azad university, Tehran, Iran
Department of Mathematics, Center Branch, Islamic Azad university, Tehran, Iran
Department of Mathematics, Center Branch, Islamic Azad university, Tehran, Iran
AUTHOR
[1] M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids, Oxford University Press, Oxford, UK, (1997).
1
[2] L. Arnold, Stochastic Differential Equations: Theory and Applications, Wiley, (1974).
2
[3] K. Burrage, I. Lenane, and G. Lythe, Numerical methods for second-order stochastic differential equations, SIAM J. SCI. Compute., Vol. 29, No. 1, pp. 245264, (2007).
3
[4] R. Cairoli, J. Walsh, Stochastic integrals in the plane, in Acta Math., 134, pp. 111183., (1975).
4
[5] Dongbin Xiu, D Daniel M. Tartakovsky, Numerical solution for differential equation in random domain, SIAM J. Sci. Compute. Vol. 28, No. 3, pp. 1167-1185 (2006).
5
[6] Lawrence C. Evans.:An Introduction to Stochastic Dierential Equations Version 1.2 (2004).
6
[7] C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences, 3rd ed., Springer-Verlag, Berlin, (2004).
7
[8] D. J. Higham, An algorithmic introduction to numerical simulation of stochastic differential equations, SIAM Review 43, 525-546, (2001).
8
[9] E. Hairer, S. P. Norsett, and G. Wanner, Solving Ordinary Dierential Equations I: Nonstiff Problems, 2nd ed., Springer-Verlag, Berlin, (1993).
9
[10] N. V. Krylov, Introduction to the Theory of Diusion Processes, American Math Society, (1995).
10
[11] J. Lamperti, A simple construction of certain diusion processes, J. Math. Kyoto, 161-170, (1964).
11
[12] G. N. Milstein and M. V. Tretyakov, Quasi-symplectic methods for Langevin-type equations, IMA J. Numer. Anal., 23, pp. 593626, (2003).
12
[13] H. McKean, Stochastic Integrals, Academic Press, (1969).
13
[14] C. A. Marsh and J. M. Yeomans, Dissipative particle dynamics: The equilibrium for nite time steps, Euro-phys. Lett., 37, pp. 511516, (1997).
14
[15] B. K. Oksendal, Stochastic Dierential Equations: An Introduction with Applications, 4th ed., Springer, (1995).
15
[16] H. R. Rezazadeha, M. Magasedib, B. Shojaeec.Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation, Journal of Linear and Topological Algebra Vol. 01, No. 02, 79- 89, (2012).
16
[17] Wuan Luo. Wiener Chaos Expansion and Numerical Solutions of Stochastic Partial Differential Equations. California Institute of Technology Pasadena, California,(2006).
17
ORIGINAL_ARTICLE
Approximate solution of fourth order differential equation in Neumann problem
Generalized solution on Neumann problem of the fourth order ordinary differential equation in space $W^2_\alpha(0,b)$ has been discussed, we obtain the condition on B.V.P when the solution is in classical form. Formulation of Quintic Spline Function has been derived and the consistency relations are given.Numerical method,based on Quintic spline approximation has been developed. Spline solution of the given problem has been considered for a certain value of $\alpha$. Error analysis of the spline method is given and it has been tested by an example.
http://jlta.iauctb.ac.ir/article_510025_d29a124b26073e7d4549702e0693dfa9.pdf
2013-12-13T11:23:20
2018-08-19T11:23:20
243
254
Fourth order ordinary differential equation
Neumann problem
generalized solution
quintic spline function
error analysis
J.
Rashidinia
rashidinia@iust.ac.ir
true
1
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
LEAD_AUTHOR
D.
Kalvand
true
2
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
AUTHOR
L.
Tepoyan
true
3
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
AUTHOR
[1] Berezanski.J.M,Expansion in Eigenfunctions of Selfadjoint Operators.,Transl.Math. Monographs 17, American Mathematical Soc, Providence,1968.
1
[2] Bicadze.A.V, Equations of mixed type.,M. Izd. AN SSSR,1959 (Russian).
2
[3] Burenko. V.V, Sobolev Spaces on Domains., Teubner, 1999.
3
[4] Dezin. A.A,Partial Differential Equations.(An Introduction to a General Theory of Linear Boundary Value Problems),Springer,1987.
4
[5] Fichera. G, On a unied theory of boundary value problems for elliptic-parabolic equations of second order., Boundary Problems of Differential Equations, The Univ. of Wisconsin Press,pp. 97-120 , 1960.
5
[6] Kalvand. Daryoush, Neumann problem for the degenerate differential-operator equations of the fourth order., Vestnik RAU, Physical-Mathematical and Natural Sciences, No. 2,pp. 34-41, 2010 (Russian).
6
[7] Kalvand. Daryoush, Tepoyan. L, Neumann problem for the fourth order degenerate ordinary differential equation., Proceedings of the Yerevan State University, Physical and Mathematical Sciences, No. 1,pp. 22-26, 2010.
7
[8] Kalvand. Daryoush, Tepoyan. L, Rashidinia. J, Existence and uniqueness of the fourth order boundary value problem and quintic Spline solution., Proceeding of 9th Seminar on Differential Equations and Dynamical Systems, 11-13 July, Iran,pp. 133-136, 2012.
8
[9] Keldi. M. V, Fis, On certain cases of degeneration of equations of elliptic type on the boundary of a domain., Dokl. Akad. Nauk. SSSR, 77,pp. 181-183, 1951 (Russian).
9
[10] Rashidinia,J.Direct methods for solution of a linear fourth-order two-point boundary value problem.,J. Intern.Eng.Sci., Vol.13,pp.37-48(2002).
10
[11] Rashidinia, J.Jalilian,R. Non-polynomial spline for solution of boundary value problems in plate defection theory., J. Comput. Math., 84(10), pp.1483-1494.(2007)
11
[12] Rashidinia,J.Mahmoodi,R.Jalilian,R.Quintic spline solution of Boundary value problem in plate Defection.,
12
J. Comput. Sci.Eng.,Vol.16,No.1,pp.53-59(2009).
13
[13] Romanko. V.K, On the theory of the operators of the form, Differential Equations,Vol. 3,No. 11, pp. 1957-1970, 1967 (Russian).
14
[14] Showalter. R.E, Hilbert Space Methods for Partial Differential Equations., Electronic Journal of Differential Equations, Monograph 01, 1994.
15
[15] Tepoyan. L, Degenerate fourth-order dierential-operator equations.,Differ. Urav, Vol. 23(8), 1987, pp. 1366- 1376, (Russian); English Transl. in Amer. Math. Soc.,No. 8, 1988.
16
[16] Tepoyan. L, On a degenerate dierential-operator equation of higher order., Izvestiya Natsionalnoi AkademiiNauk Armenii. Matematika, Vol.34(5), pp. 48-56,1999.
17
[17] Tepoyan. L, On the spectrum of a degenerate operator., Izvestiya Natsionalnoi Akademii Nauk Armenii. Matematika,Vol. 38,No. 5,pp. 53-57, 2003.
18
[18] Tepoyan. L, The Neumann problem for a degenerate dierential-operator equation., Bulletin of TICMI (Tbil-isi International Centre of Mathematics and Informatics),Vol. 14, pp. 1-9, 2010.
19
[19] Tricomi, F, On linear partial dierential equations of second order of mixed type., M., Gostexizdat, 1947 (Russian).
20
254 J. Rashidinia et al. / J. Linear. Topological. Algebra. 02(04) (2013) 243-254.
21
[20] Usmani,R.A. Discrete methods for boundary value problems with applications in plate defection the-
22
ory.,J.Appl.Math.Phys., 30 ,pp.87-99(1979).
23
[21] Visik. M.I, Boundary-value problems for elliptic equations degenerate on the boundary of a region., Mat. Sb.,
24
35(77), pp. 513-568,1954 (Russian); Amer. Math. Soc,Vol. 35,No. 2,(English) 1964.
25
[22] Zahra ,W.K,Ashraf, M.El,Mhlawy. Numerical solution of two-parameter singularly perturbed boundary vproblems via exponential spline, Journal of King Saudi University Science January(2013).
26
ORIGINAL_ARTICLE
Some algebraic properties of Lambert Multipliers on $L^2$ spaces
In this paper, we determine the structure of the space of multipliers of the range of a composition operator $C_\varphi$ that induces by the conditional expectation between two $L^p(\Sigma)$ spaces.
http://jlta.iauctb.ac.ir/article_510026_4b3d30e0916fed21dca05d6d64dec548.pdf
2013-12-31T11:23:20
2018-08-19T11:23:20
255
261
conditional expectation
multipliers
multiplication operators
composition operators
A.
Zohri
true
1
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
LEAD_AUTHOR
S.
Khalil Sarbaz
true
2
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
AUTHOR
[1] C. Burnap, I. L. B. Jung and A. Lambert, Separating partial normality classes with composition operators, J. Operator Theory 53, No. 2 (2005), 381-397.
1
[2] J. T. Campbell, M. Embry-Wardrop, R. J. Fleming, and S. K. Narayan, Normal and quasinormal weighted composition operators, Glasgow Math. J. 33, No. 3 (1991), 275-279.
2
[3] J. D. Herron, Weighted conditional expectation operators on Lp-spaces, UNC Charlotte Doctoral Dissertation.
3
[4] M. R. Jabbarzadeh and S. Khalil Sarbaz, Lambert multipliers between Lp-spaces, Czech. Math. J. 60 (135), No. 1 (2010), 31-43.
4
[5] A. Lambert, Hyponormal composition operators, Bull. London Math. Soc. 18, No. 4 (1986), 395-400.
5
[6] A. Lambert and T. G. Lucas, Nagatas principle of idealization in relation to module homomorphisms and conditional expectations, Kyungpook Math. J. 40, No. 2 (2000), 327-337.
6