Representation theorems for operators on free Banach spaces of countable type

DOI10.1134/S2070046619010023WikidataQ128440683 ScholiaQ128440683MaRDI QIDQ2327925

Jacqueline Ojeda, José Aguayo, Miguel Nova

Publication date: 8 October 2019

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07536

zbMATH Keywords

compact operatorsrepresentation theoremsself-adjoint operatorsC-algebrasspectral measure and integration

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Cites Work

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• Bounded linear operators on ultrametric Hilbert spaces
• Inner product on \(B^\ast\)-algebras of operators on a free Banach space over the Levi-Civita field
• On p-adic vector measure spaces
• Nonarchimedean spectral theory
• Compact self-adjoint operators on free Banach spaces of countable type

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