Generalized notion of character amenability
A.
Bodaghi
Department of Mathematics, Garmsar Branch, Islamic Azad University,
Garmsar, Iran
author
F.
Anousheh
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, Iran
author
S.
Etemad
Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran
author
text
article
2013
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
04
no.
2013
191
200
http://jlta.iauctb.ac.ir/article_510021_033cdfd7182e97b7f170911bd9233425.pdf
Operator-valued bases on Hilbert spaces
M. S.
Asgari
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, Iran
author
text
article
2014
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
04
no.
2014
201
218
http://jlta.iauctb.ac.ir/article_510022_6baf619a1cbe13440723e3b77b58e7c5.pdf
On the Finsler modules over H-algebras
F.
Hasanvand
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
author
M.
Khanehgir
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
author
M.
Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, Iran
author
text
article
2013
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
04
no.
2013
219
227
http://jlta.iauctb.ac.ir/article_510023_c61e52e8069e6388fb89f9a704d27133.pdf
Numerical solution of second-order stochastic differential equations with Gaussian random parameters
R.
Farnoosh
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
author
H.
Rezazadeh
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
author
A.
Sobhani
School of Mathematics, Iran University of Science and Technology, 16844, Tehran, Iran
author
D.
Ebrahimibagha
Department of Mathematics, Center Branch, Islamic Azad university, Tehran, Iran
author
text
article
2014
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
04
no.
2014
229
241
http://jlta.iauctb.ac.ir/article_510024_823aac96fae2f3f87efaa45d5f4c3e28.pdf
Approximate solution of fourth order differential equation in Neumann problem
J.
Rashidinia
School of Mathematics, Iran University of Science and Technology, Tehran, Iran
author
D.
Kalvand
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
author
L.
Tepoyan
Faculty of Mathematics, Yerevan state University , Yerevan, Armenia
author
text
article
2013
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
04
no.
2013
243
254
http://jlta.iauctb.ac.ir/article_510025_d29a124b26073e7d4549702e0693dfa9.pdf
Some algebraic properties of Lambert Multipliers on $L^2$ spaces
A.
Zohri
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
author
S.
Khalil Sarbaz
Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
author
text
article
2013
eng
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.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
2252-0201
02
v.
04
no.
2013
255
261
http://jlta.iauctb.ac.ir/article_510026_4b3d30e0916fed21dca05d6d64dec548.pdf