Compact operators and uniform structures in Hilbert \(C^*\)-modules

DOI10.1134/S0016266320040061zbMath1469.46048OpenAlexW3081101638MaRDI QIDQ2038441

D. V. Fufaev, Evgenij V. Troitsky

Publication date: 7 July 2021

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266320040061

zbMATH Keywords

compact operatorframeHilbert \(C^*\)-moduleuniform structuretotally bounded set\(\mathcal{A}\)-compact operator

Mathematics Subject Classification ID

(C^*)-modules (46L08) General harmonic expansions, frames (42C15)

Related Items

Topological and frame properties of certain pathological \(C^{\ast}\)-algebras, A Hilbert \(C^*\)-module with extremal properties, Thick elements and states in \(C^*\)-algebras in view of frame theory

Cites Work

• Hilbert \(C^*\) and \(W^*\)-modules and their morphisms
• Compact and ``compact operators on standard Hilbert modules over \(W^*\)-algebras
• Compact and ``compact operators on standard Hilbert modules over \(C^*\)-algebras
• Geometric essence of ``compact operators on Hilbert \(C^\ast\)-modules
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