Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
04
2013
12
24
Generalized notion of character amenability
191
200
EN
A.
Bodaghi
Department of Mathematics, Garmsar Branch, Islamic Azad University,
Garmsar, Iran
abasalt.bodaghi@gmail.com
F.
Anousheh
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
S.
Etemad
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.
amenability,contractibility,n-homomorphism
http://jlta.iauctb.ac.ir/article_510021.html
http://jlta.iauctb.ac.ir/article_510021_033cdfd7182e97b7f170911bd9233425.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
04
2014
01
01
Operator-valued bases on Hilbert spaces
201
218
EN
M. S.
Asgari
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
msasgari@yahoo.com
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.
ov-bases,dual ov-bases,Bessel ov-bases,Hilbert ov-bases,ov-biorthogonal sequence
http://jlta.iauctb.ac.ir/article_510022.html
http://jlta.iauctb.ac.ir/article_510022_6baf619a1cbe13440723e3b77b58e7c5.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
04
2013
12
13
On the Finsler modules over H-algebras
219
227
EN
F.
Hasanvand
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
M.
Khanehgir
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
khanehgir@mshdiau.ac.ir
M.
Hassani
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.
$H^*$-algebra,full Finsler module,ϕ-morphism,trace class
http://jlta.iauctb.ac.ir/article_510023.html
http://jlta.iauctb.ac.ir/article_510023_c61e52e8069e6388fb89f9a704d27133.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
04
2014
01
01
Numerical solution of second-order stochastic differential equations with Gaussian random parameters
229
241
EN
R.
Farnoosh
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
H.
Rezazadeh
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
hr_rezazadeh@mathdep.iust.ac.ir
A.
Sobhani
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
D.
Ebrahimibagha
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.
Stochastic differential equation,Linear equations system,Gaussian random variables,damped harmonic oscillators with noise,multiplicative noise
http://jlta.iauctb.ac.ir/article_510024.html
http://jlta.iauctb.ac.ir/article_510024_823aac96fae2f3f87efaa45d5f4c3e28.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
04
2013
12
13
Approximate solution of fourth order differential equation in Neumann problem
243
254
EN
J.
Rashidinia
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
rashidinia@iust.ac.ir
D.
Kalvand
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
L.
Tepoyan
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.
Fourth order ordinary differential equation,Neumann problem,generalized solution,quintic spline function,Error Analysis
http://jlta.iauctb.ac.ir/article_510025.html
http://jlta.iauctb.ac.ir/article_510025_d29a124b26073e7d4549702e0693dfa9.pdf
Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
2252-0201
2345-5934
02
04
2013
12
31
Some algebraic properties of Lambert Multipliers on $L^2$ spaces
255
261
EN
A.
Zohri
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
S.
Khalil Sarbaz
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.
conditional expectation,multipliers,multiplication operators,composition operators
http://jlta.iauctb.ac.ir/article_510026.html
http://jlta.iauctb.ac.ir/article_510026_4b3d30e0916fed21dca05d6d64dec548.pdf