Central Tehran Branch. IAU
Journal of Linear and Topological Algebra (JLTA)
22520201
23455934
02
04
2013
12
01
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 nhomomorphism amenability for Banach algebras are investigated and the relations between nhomomorphism amenability of a Banach algebra and its ide als are found. Analogous to the character amenability, it is shown that the tensor product of two unital Banach algebras is nhomomorphism amenable if and only if each one is n homomorphism amenable.
amenability,contractibility,nhomomorphism
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)
22520201
23455934
02
04
2013
12
01
Operatorvalued bases on Hilbert spaces
201
218
EN
M. S.
Asgari
Department of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185768, Tehran, Iran.
msasgari@yahoo.com
In this paper we develop a natural generalization of Schauder basis theory, we term
operatorvalued basis or simply ovbasis theory, using operatoralgebraic methods. We prove
several results for ovbasis concerning duality, orthogonality, biorthogonality and minimality.
We prove that the operators of a dual ovbasis are continuous. We also dene the concepts of
Bessel, Hilbert ovbasis and obtain some characterizations of them. We study orthonormal
and Riesz ovbases for Hilbert spaces. Finally we consider the stability of ovbases under
small perturbations. We generalize a result of PaleyWiener [4] to the situation of ovbasis.
ovbases,dual ovbases,Bessel ovbases,Hilbert ovbases,ovbiorthogonal
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)
22520201
23455934
02
04
2013
12
01
On the Finsler modules over Halgebras
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 Avalued norm on a right H

module and also the notion of ϕhomomorphism of Finsler modules over C
algebras we rst
improve the denition of the Finsler module over H
algebra and then dene ϕmorphism
of Finsler modules over H
algebras. Finally we present some results concerning these new
ones.
H
algebra,full Finsler module,ϕmorphism,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)
22520201
23455934
02
04
2013
12
01
Numerical solution of secondorder stochastic dierential 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 dierential equations
(or SDEs), from each order especially secondorder with timevarying and Gaussian random
coecients. We indicate a complete analysis for secondorder equations in special case of
scalar linear secondorder equations (damped harmonic oscillators with additive or multi
plicative noises). Making stochastic dierential equations system from this equation, it could
be approximated or solved numerically by dierent numerical methods. In the case of linear
stochastic dierential equations system by Computing fundamental matrix of this system, it
could be calculated based on the exact solution of this system. Finally, this stochastic equa
tion is solved by numerically method like EulerMaruyama and Milstein. Also its Asymptotic
stability and statistical concepts like expectation and variance of solutions are discussed.
Stochastic dierential 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)
22520201
23455934
02
04
2013
12
01
Approximate solution of fourth order dierential 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 dierential
equation in space W2
(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 : Error analysis of the spline method is given and it has been tested by an example.
Fourth order ordinary dierential 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)
22520201
23455934
02
04
2013
12
01
Some algebraic properties of Lambert Multipliers on L2 spaces
255
261
EN
A
Zohri
Faculty of Mathematical Sciences, Payame Noor University,
P. O. BOX 193953697, Tehran, I. R. Iran.
zohri a@pnu.ac.ir
S
Khalil Sarbaz
Faculty of Mathematical Sciences, Payame Noor University,
P. O. BOX 193953697, Tehran, I. R. Iran.
In this paper, we determine the structure of the space of multipliers of the range
of a composition operator Cφ that induces by the conditional expectation between two Lp()
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