Positive operators on a free Banach space over the complex Levi-Civita field

DOI10.1134/S2070046617020029OpenAlexW2615178361MaRDI QIDQ2403577

Khodr Shamseddine, Miguel Nova, José Aguayo

Publication date: 11 September 2017

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

Full work available at URL: https://doi.org/10.1134/s2070046617020029

zbMATH Keywords

Banach spacespositive operatorsnon-Archimedean fieldspartial order of operators

Mathematics Subject Classification ID

Positive linear operators and order-bounded operators (47B65) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (2)

On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications ⋮ \(\lambda\)-commuting of bounded linear operators on ultrametric Banach spaces and determinant spectrum of ultrametric matrices

Cites Work

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• 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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