On Hilbert modules over locally C*-algebras II

2005/08/02 by Maria Joiţa, Maria Joita, Joita, Maria
Mathematics · #46L05 #46L08 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.FA #math.OA #msc:46L05 #msc:46L08

paper · pdf · doi:10.48550/arxiv.math/0508056

11 pages

arxiv created 2005/08/02 · openalex publication_date 2005/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Hilbert modules over locally C*-algebras
• Induced representations of Hilbert modules over locally C*-algebras and the imprimitivity theorem
• Operator Models for Hilbert Locally C^*-Modules
• On multipliers of Hilbert modules over locally C*-algebras
• A new uniform structure for Hilbert C^*-modules