Spectral analysis for finite rank perturbations of diagonal operators in non-Archimedean Hilbert space

DOI10.1134/S2070046614030017zbMath1317.47069MaRDI QIDQ2263140

Teylama H. Miabey, Rodney Kerby, Tocka Diagana, François Ramaroson

Publication date: 17 March 2015

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

zbMATH Keywords

eigenvaluespectrumFredholm operatorfinite rank operatoressential spectrumspectral analysiscompletely continuous operatordiagonal operatornon-Archimedean Hilbert space

Mathematics Subject Classification ID

Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Non-Archimedean valued fields (12J25)

Related Items (4)

Spectral analysis for finite rank perturbation of diagonal operator in non-archimedean Banach space of countable type ⋮ Essential spectra in non-Archimedean fields ⋮ Spectral analysis for infinite rank perturbations of unbounded diagonal operators ⋮ Pseudospectra in a non-Archimedean Banach space and essential pseudospectra in Eω

Cites Work

• Bounded linear operators on ultrametric Hilbert spaces
• Invariant subspaces for certain finite-rank perturbations of diagonal operators
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Some characterizations of p-adic semi-Fredholm operators
• An operator on some ultrametric Hilbert spaces
• Perturbation theory of \(p\)-adic Fredholm and semi-Fredholm operators.
• On rank-one perturbations of normal operators
• Towards a theory of some unbounded linear operators on \(p\)-adic Hilbert spaces and applications
• On Fredholm Operators Between Non-archimedean Fréchet Spaces
• Rank-one perturbations of diagonal operators
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