On Hilbert modules over locally C*-algebras II

Details On Hilbert modules over locally C*-algebras II On Hilbert modules over locally C*-algebras II

2005-08-02

arxiv.org/abs/math/0508056v1

Mathematics

Operator Algebras

11 pages

Scientific paper

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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