Extensions of the Hilbert-multi-norm in Hilbert \(C^\ast\)-modules

DOI10.1007/s11117-022-00960-8OpenAlexW4311299483MaRDI QIDQ2105270

Sajjad Abedi, Mohammad Sal Moslehian

Publication date: 8 December 2022

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-022-00960-8

zbMATH Keywords

decompositionorthonormal basisHilbert \(C^\ast\)-moduleHilbert \(C^\ast\)-multi-norm

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

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• Another characterization of Hilbert \(C^*\)-modules over compact operators
• Geometrical aspects of Hilbert \(C^*\)-modules
• Frame-less Hilbert \(C^*\)-modules. II
• Power-normed spaces
• Power-norms based on Hilbert \(C^\ast\)-modules
• Multi-normed spaces
• Hilbert modules revisited: orthonormal bases and Hilbert-Schmidt operators
• Equivalence of multi-norms

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