Characterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field

DOI10.1063/1.4789541zbMath1294.46068OpenAlexW2088170378MaRDI QIDQ5396319

José Aguayo, Miguel Nova, Khodr Shamseddine

Publication date: 5 February 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a33d1e67dffc342b980177ec009e20d486e05f33

zbMATH Keywords

compact operatorsLevi-Civita fieldnon-Archimedean functional analysisnon-Archimedean Banach spaces

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Non-Archimedean analysis (26E30) Non-Archimedean analysis (32P05)

Related Items (5)

\(C\)-algebras on some free-Banach spaces ⋮ 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 ⋮ Positive operators on a free Banach space over the complex Levi-Civita field ⋮ Inner product on \(B^\ast\)-algebras of operators on a free Banach space over the Levi-Civita field

Cites Work

• Unnamed Item
• Unnamed Item
• On p-adic Hilbert spaces
• Characterization of hilbert spaces by orthomodular spaces
• Advances in 𝑝-adic and Non-Archimedean Analysis
• Ultrametric Functional Analysis

This page was built for publication: Characterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field