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