On the Finsler modules over H-algebras

محورهای موضوعی : Functional analysis

F. Hasanvand ¹ (Department of Mathematics, Mashhad Branch, Islamic Azad University, 91735, Mashhad, Iran)
M. Khanehgir ² (Department of Mathematics, Mashhad Branch, Islamic Azad University, 91735, Mashhad, Iran)
M. Hassani ³ (Department of Mathematics, Mashhad Branch, Islamic Azad University, 91735, Mashhad, Iran)

تاریخ دریافت : 1392/06/13 تاریخ پذیرش : 1392/09/11 تاریخ انتشار : 1392/09/22

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

چکیده مقاله :

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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