Hilbert modules over locally C*-algebras

2000/11/08 by Yu. I. Zhuraev, Zhuraev, Yu. I., F. Sharipov +1
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.math/0011053

16 pages, LaTeX, essential references added

arxiv created 2001/01/24 · arxiv updated 2009/11/30

Abstract

In the present paper the notion of a Hilbert module over a locally C*-algebra is discussed and some results are obtained on this matter. In particular, we give a detailed proof of the known result that the set of adjointable endomorphisms of such modules is itself a locally C*-algebra.

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