2018-06-23T06:23:48Z
http://jlta.iauctb.ac.ir/?_action=export&rf=summon&issue=110006
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2013
02
04
Generalized notion of character amenability
A.
Bodaghi
F.
Anousheh
S.
Etemad
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
2013
12
24
191
200
http://jlta.iauctb.ac.ir/article_510021_033cdfd7182e97b7f170911bd9233425.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2013
02
04
Operator-valued bases on Hilbert spaces
M. S.
Asgari
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
2014
01
01
201
218
http://jlta.iauctb.ac.ir/article_510022_6baf619a1cbe13440723e3b77b58e7c5.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2013
02
04
On the Finsler modules over H-algebras
F.
Hasanvand
M.
Khanehgir
M.
Hassani
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
2013
12
13
219
227
http://jlta.iauctb.ac.ir/article_510023_c61e52e8069e6388fb89f9a704d27133.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2013
02
04
Numerical solution of second-order stochastic differential equations with Gaussian random parameters
R.
Farnoosh
H.
Rezazadeh
A.
Sobhani
D.
Ebrahimibagha
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
2014
01
01
229
241
http://jlta.iauctb.ac.ir/article_510024_823aac96fae2f3f87efaa45d5f4c3e28.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2013
02
04
Approximate solution of fourth order differential equation in Neumann problem
J.
Rashidinia
D.
Kalvand
L.
Tepoyan
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
2013
12
13
243
254
http://jlta.iauctb.ac.ir/article_510025_d29a124b26073e7d4549702e0693dfa9.pdf
Journal of Linear and Topological Algebra (JLTA)
J. Linear Topol. Algebr
2252-0201
2252-0201
2013
02
04
Some algebraic properties of Lambert Multipliers on $L^2$ spaces
A.
Zohri
S.
Khalil Sarbaz
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
2013
12
31
255
261
http://jlta.iauctb.ac.ir/article_510026_4b3d30e0916fed21dca05d6d64dec548.pdf