A Banach algebra structure on Finsler modules and an application

Let A be a C* -algebra, φ : A → A be a linear homomorphism and e be an element in a FinslerA-module E satisfying kek ‖e‖ = ۱: In this paper, we demonstrate an algebraic structure on E, denoted by e, under which (E; π e) is a Banach algebra. Moreover, applying the concepts of φ-module map and φ-homomorphism, we establish a necessary and su cient condition for a φ-module map (resp. φ-morphism)on E to be a homomorphism on (E; πe).

کلیدواژه ها:

Full Hilbert C -module ، generalized module map