engleski

Finite-dimensional Hilbert C*-modules

In this paper we obtain a characterization of finite-dimensional Hilbert C*-modules. It is known that those are the modules for which both underlying C*-algebras are finite-dimensional. We show that such modules can be described by a certain property of bounded sequences of their elements. It turns out that similar property leads to another characterization of Hilbert C*-modules over C*-algebras of compact operators.

C*-algebra ; Hilbert C*-module ; (weakly) compact operators ; finite-dimensional C*-algebra ; finite-dimensional C*-module

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