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)
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.