On Hilbert modules over locally C*-algebras II

Maria Joita

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On Hilbert modules over locally C*-algebras II

Maria Joita

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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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BibTeX RIS

Maria Joita. 2005-08-02. On Hilbert modules over locally C*-algebras II. https://arxiv.org/abs/math/0508056

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