Perturbation theory of \(p\)-adic Fredholm and semi-Fredholm operators.

DOI10.1016/S0019-3577(04)90009-2zbMath1061.47068MaRDI QIDQ1890417

Yanyan Li

Publication date: 3 January 2005

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

perturbation theorysemi-Fredholm operators

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items

The condition \(\varepsilon\)-pseudospectra on non-Archimedean Banach space ⋮ A new identity for resolvents of operators ⋮ Disjointness preserving Fredholm operators between little Lipschitz algebras ⋮ New results on perturbations of p-adic linear operators ⋮ Spectral analysis for finite rank perturbations of diagonal operators in non-Archimedean Hilbert space ⋮ Sequence of linear operators in non-Archimedean Banach spaces

Cites Work

• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Some characterizations of p-adic semi-Fredholm operators
• On the index of \(p\)-adic differential operators. I
• On the index of \(p\)-adic differential operators. II
• On the index theorem for \(p\)-adic differential equations. I
• On the index theorem for \(p\)-adic differential equations. II
• On the index theorem for \(p\)-adic differential equations. III
• Théorie de Fredholm $p$-adique
• On the index theorem for \(p\)-adic differential equations. IV
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