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Title: Finite-Dimensional Hilbert [C.Sup.*]-Modules (Report)
Author : Ljiljana Arambasic, Damir Bakic & Rajna Rajic
Release Date : January 01, 2010
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 77 KB

Description

1. INTRODUCTION AND PRELIMINARIES Hilbert [C.sup.*]-modules are straightforward generalization of Hilbert spaces where the field of complex numbers is replaced by a [C.sup.*]-algebra. The concept was introduced by Kaplansky [10]. The origin of Hilbert [C.sup.*]-modules is in operator theory, where they serve as a useful tool in areas like KK-theory, quantum groups and several other areas.