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  • List of Articles


      • Open Access Article

        1 - 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. A More
        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. Manuscript profile
      • Open Access Article

        2 - Operator-valued bases on Hilbert spaces
        M. S. Asgari
        In this paper we develop a natural generalization of Schauder basis theory, we termoperator-valued basis or simply ov-basis theory, using operator-algebraic methods. We proveseveral results for ov-basis concerning duality, orthogonality, biorthogonality and minimality.W More
        In this paper we develop a natural generalization of Schauder basis theory, we termoperator-valued basis or simply ov-basis theory, using operator-algebraic methods. We proveseveral results for ov-basis concerning duality, orthogonality, biorthogonality and minimality.We prove that the operators of a dual ov-basis are continuous. We also de ne the concepts ofBessel, Hilbert ov-basis and obtain some characterizations of them. We study orthonormaland Riesz ov-bases for Hilbert spaces. Finally we consider the stability of ov-bases undersmall perturbations. We generalize a result of Paley-Wiener [4] to the situation of ov-basis. Manuscript profile
      • Open Access Article

        3 - 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-morphismof Fi More
        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-morphismof Finsler modules over $H^*$-algebras. Finally we present some results concerning these newones. Manuscript profile
      • Open Access Article

        4 - 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 randomcoefficients. We indicate a complete analysis for second-order equations in special case ofscalar l More
        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 randomcoefficients. We indicate a complete analysis for second-order equations in special case ofscalar linear second-order equations (damped harmonic oscillators with additive or multiplicative noises). Making stochastic differential equations system from this equation, it couldbe approximated or solved numerically by different numerical methods. In the case of linearstochastic differential equations system by Computing fundamental matrix of this system, itcould 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 Asymptoticstability and statistical concepts like expectation and variance of solutions are discussed. Manuscript profile
      • Open Access Article

        5 - 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 differentialequation in space $W^2_\alpha(0,b)$ has been discussed, we obtain the condition on B.V.P when thesolution is in classical form. Formulation of Quintic Spline Function has been derived and t More
        Generalized solution on Neumann problem of the fourth order ordinary differentialequation in space $W^2_\alpha(0,b)$ has been discussed, we obtain the condition on B.V.P when thesolution is in classical form. Formulation of Quintic Spline Function has been derived and theconsistency relations are given.Numerical method,based on Quintic spline approximation hasbeen developed. Spline solution of the given problem has been considered for a certain valueof $\alpha$. Error analysis of the spline method is given and it has been tested by an example. Manuscript profile
      • Open Access Article

        6 - 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 rangeof a composition operator $C_\varphi$ that induces by the conditional expectation between two $L^p(\Sigma)$spaces.
        In this paper, we determine the structure of the space of multipliers of the rangeof a composition operator $C_\varphi$ that induces by the conditional expectation between two $L^p(\Sigma)$spaces. Manuscript profile