Inner product on \(B^\ast\)-algebras of operators on a free Banach space over the Levi-Civita field

DOI10.1016/J.INDAG.2014.09.006zbMath1325.46077OpenAlexW2020154928MaRDI QIDQ475588

Khodr Shamseddine, José Aguayo, Miguel Nova

Publication date: 27 November 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2014.09.006

zbMATH Keywords

positive operatorscompact operatorsinner productsself-adjoint operatorsLevi-Civita field\(B^*\)-algebrasBanach spaces over non-Archimedean valued fields

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)

Related Items (3)

On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications ⋮ Analysis on the Levi-Civita field and computational applications ⋮ Representation theorems for operators on free Banach spaces of countable type

Cites Work

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• Bounded linear operators on ultrametric Hilbert spaces
• On p-adic Hilbert spaces
• Characterization of hilbert spaces by orthomodular spaces
• Characterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field

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