**Volume 09 (2020)**

**Volume 08 (2019)**

**Volume 07 (2018)**

**Volume 06 (2017)**

**Volume 05 (2016)**

**Volume 04 (2015)**

**Volume 03 (2014)**

**Volume 02 (2013)**

**Volume 01 (2012)**

# Main Subjects = Functional analysis
Number of Articles: 32

##### 26. Existence and uniqueness of solution of Schrodinger equation in extended Colombeau algebra

*Volume 03, Issue 02 , Spring 2014, , Pages 67-78*

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**Abstract **

In this paper, we establish the existence and uniqueness result of the linear Schrodinger equation with Marchaud fractional derivative in Colombeau generalized algebra. The purpose of introducing Marchaud fractional derivative is regularizing it in Colombeau sense.
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##### 27. Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions

*Volume 03, Issue 02 , Spring 2014, , Pages 87-105*

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**Abstract **

We characterize compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions on metric spaces, not necessarily compact, with Lipschitz involutions and determine their spectra.
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##### 28. On the superstability of a special derivation

*Volume 03, Issue 01 , Winter 2014, , Pages 15-22*

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**Abstract **

The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(\alpha,\beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(\alpha,\beta)$-derivation.
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##### 29. On the Finsler modules over H-algebras

*Volume 02, Issue 04 , Autumn 2013, , Pages 219-227*

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**Abstract **

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. ...
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##### 30. Operator-valued bases on Hilbert spaces

*Volume 02, Issue 04 , Autumn 2013, , Pages 201-218*

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**Abstract **

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 ...
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##### 31. Generalized notion of character amenability

*Volume 02, Issue 04 , Autumn 2013, , Pages 191-200*

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**Abstract **

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, ...
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##### 32. Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients

*Volume 02, Issue 02 , Spring 2013, , Pages 91-103*