eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-12-24
02
04
191
200
510021
Generalized notion of character amenability
A. Bodaghi
abasalt.bodaghi@gmail.com
1
F. Anousheh
2
S. Etemad
3
Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
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
amenability
contractibility
n-homomorphism
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-01-01
02
04
201
218
510022
Operator-valued bases on Hilbert spaces
M. S. Asgari
msasgari@yahoo.com
1
Department of Mathematics, Islamic Azad University, Central Tehran Branch, PO. Code 13185-768, Tehran, Iran
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
ov-bases
dual ov-bases
Bessel ov-bases
Hilbert ov-bases
ov-biorthogonal sequence
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-12-13
02
04
219
227
510023
On the Finsler modules over H-algebras
F. Hasanvand
1
M. Khanehgir
khanehgir@mshdiau.ac.ir
2
M. Hassani
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
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
$H^*$-algebra
full Finsler module
ϕ-morphism
trace class
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2014-01-01
02
04
229
241
510024
Numerical solution of second-order stochastic differential equations with Gaussian random parameters
R. Farnoosh
1
H. Rezazadeh
hr_rezazadeh@mathdep.iust.ac.ir
2
A. Sobhani
3
D. Ebrahimibagha
4
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
Department of Mathematics, Center Branch, Islamic Azad university, Tehran, Iran
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
Stochastic differential equation
Linear equations system
Gaussian random variables
damped harmonic oscillators with noise
multiplicative noise
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-12-13
02
04
243
254
510025
Approximate solution of fourth order differential equation in Neumann problem
J. Rashidinia
rashidinia@iust.ac.ir
1
D. Kalvand
2
L. Tepoyan
3
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
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
Fourth order ordinary differential equation
Neumann problem
generalized solution
quintic spline function
error analysis
eng
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
2013-12-31
02
04
255
261
510026
Some algebraic properties of Lambert Multipliers on $L^2$ spaces
A. Zohri
1
S. Khalil Sarbaz
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
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
conditional expectation
multipliers
multiplication operators
composition operators