Topologically finitely generated Hilbert \(C(X)\)-modules

DOI10.1016/j.jmaa.2012.05.050zbMath1254.46053OpenAlexW2031593401MaRDI QIDQ448253

Ilja Gogić

Publication date: 30 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.050

zbMATH Keywords

finitely generated modulesbundles of Hilbert \(C(X)\)-modulesHilbert \(C(X)\)-modulestopologically finitely generated modulesweakly algebraically finitely generated modules

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Cites Work

• Elementary operators and subhomogeneous \(C^*\)-algebras. II.
• Linear algebra in the category of C(X)-locally convex modules
• Bundles of topological vector spaces and their duality
• Cancellation of low-rank vector bundles
• Algebraic topology from a homotopical viewpoint
• Classifying Hilbert bundles
• Elementary operators and subhomogeneous C*-algebras
• Uniform approximation by elementary operators
• Vector Bundles and Projective Modules
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