On Hilbert modules over locally C*-algebras II
Operator Algebras
2007-05-23 v1 Functional Analysis
Abstract
In this paper we study the unitary equivalence between Hilbert modules over a locally C*-algebra. Also, we prove a stabilization theorem for countably generated modules over an arbitrary locally C*-algebra and show that a Hilbert module over a Frechet locally C*-algebra is countably generated if and only if the locally C*-algebra of all ''compact'' operators has an approximate unit.
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Cite
@article{arxiv.math/0508056,
title = {On Hilbert modules over locally C*-algebras II},
author = {Maria Joita},
journal= {arXiv preprint arXiv:math/0508056},
year = {2007}
}
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11 pages