An operator on some ultrametric Hilbert spaces

zbMath0930.47049MaRDI QIDQ1282007

Bertin Diarra

Publication date: 25 August 1999

Published in: The Journal of Analysis (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesvaluationvalued fieldvalue group\(p\)-adic analytic function theoryantilexicographic orderconical orthogonal base

Mathematics Subject Classification ID

Eigenvalue problems for linear operators (47A75) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (15)

Spectral analysis for finite rank perturbation of diagonal operator in non-archimedean Banach space of countable type ⋮ The condition \(\varepsilon\)-pseudospectra on non-Archimedean Banach space ⋮ \(C_{0}\)-semigroups of linear operators on some ultrametric Banach spaces ⋮ $C$-groups and mixed $C$-groups of bounded linear operators on non-archimedean Banach spaces ⋮ Cosine families of bounded linear operators on non-archimedean Banach spaces ⋮ A formula for gap between \(\mathbb{K}\)-relatively bounded operator matrices in non-Archimedean Banach spaces ⋮ On mixed $C_{0}-$groups of bounded linear operators on non-Archimedean Banach spaces ⋮ Spectral analysis for infinite rank perturbations of unbounded diagonal operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Spectral analysis for finite rank perturbations of diagonal operators in non-Archimedean Hilbert space ⋮ Non-compact Trace class operators and Schatten-class operators in 𝑝-adic Hilbert spaces ⋮ Sequence of linear operators in non-Archimedean Banach spaces ⋮ Towards a theory of some unbounded linear operators on \(p\)-adic Hilbert spaces and applications ⋮ Pseudospectra in a non-Archimedean Banach space and essential pseudospectra in Eω

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