On the Finsler modules over H-algebras

Subject Areas : Functional analysis

F. Hasanvand ¹ , M. Khanehgir ² , M. Hassani ³

1 - Department of Mathematics, Mashhad Branch, Islamic Azad University, 91735, Mashhad, Iran
2 - Department of Mathematics, Mashhad Branch, Islamic Azad University, 91735, Mashhad, Iran
3 - Department of Mathematics, Mashhad Branch, Islamic Azad University, 91735, Mashhad, Iran

Received: 2013-09-04 Accepted : 2013-12-02 Published : 2013-12-13

Keywords: full Finsler module, ϕ-morphism, trace class, $H^*$-algebra,

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-morphismof Finsler modules over $H^*$-algebras. Finally we present some results concerning these newones.

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