Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020420131224Generalized notion of character amenability191200510021ENA. BodaghiDepartment of Mathematics, Garmsar Branch, Islamic Azad University,
Garmsar, IranF. AnoushehDepartment of Mathematics, Islamic Azad University, Central Tehran Branch,
Tehran, IranS. EtemadDepartment of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, IranJournal Article20130921This 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020420140101Operator-valued bases on Hilbert spaces201218510022ENM. S. AsgariDepartment of Mathematics, Islamic Azad University, Central Tehran Branch,
PO. Code 13185-768, Tehran, IranJournal Article20130711In 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020420131213On the Finsler modules over H-algebras219227510023ENF. HasanvandDepartment of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, IranM. KhanehgirDepartment of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, IranM. HassaniDepartment of Mathematics, Mashhad Branch, Islamic Azad University,
91735, Mashhad, IranJournal Article20130904In 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020420140101Numerical solution of second-order stochastic differential equations with Gaussian random parameters229241510024ENR. FarnooshSchool of Mathematics, Iran University of Science and Technology, 16844, Tehran, IranH. RezazadehSchool of Mathematics, Iran University of Science and Technology, 16844, Tehran, IranA. SobhaniSchool of Mathematics, Iran University of Science and Technology, 16844, Tehran, IranD. EbrahimibaghaDepartment of Mathematics, Center Branch, Islamic Azad university, Tehran, IranJournal Article20130916In 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020420131213Approximate solution of fourth order differential equation in Neumann problem243254510025ENJ. RashidiniaSchool of Mathematics, Iran University of Science and Technology, Tehran, IranD. KalvandFaculty of Mathematics, Yerevan state University , Yerevan, ArmeniaL. TepoyanFaculty of Mathematics, Yerevan state University , Yerevan, ArmeniaJournal Article20130819Generalized 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.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201020420131231Some algebraic properties of Lambert Multipliers on $L^2$ spaces255261510026ENA. ZohriFaculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. IranS. Khalil SarbazFaculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. IranJournal Article20150911In 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