Spectral integration and spectral theory for non-Archimedean Banach spaces

DOI10.1155/S016117120201150XzbMath0999.47063arXivmath/0101090OpenAlexW3104755760MaRDI QIDQ1612905

Bertin Diarra, Sergey V. Ludkovsky

Publication date: 5 September 2002

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101090

zbMATH Keywords

spectral theoremsnon-Archimedean fieldscommutative subalgebrasnon-Archimedean Banach algebrasprojection-valued measurefamilies of commuting linear continuous operatorsnon-Archimedean analog of Stone theorem

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Spectral sets of linear operators (47A25) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (7)

\(C\)-algebras on some free-Banach spaces ⋮ Octonion orthocomplemantable modules ⋮ Topological transformation groups of manifolds over non-Archimedean fields, their representations, and quasi-invariant measures. I. ⋮ Non-compact Trace class operators and Schatten-class operators in 𝑝-adic Hilbert spaces ⋮ Weakly separable algebras ⋮ Non-Archimedean normal operators ⋮ Towards a theory of some unbounded linear operators on \(p\)-adic Hilbert spaces and applications

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