Stability of semi-Fredholm properties in complex interpolation spaces

DOI10.1090/S0002-9939-2011-10761-5zbMath1241.47010MaRDI QIDQ3093442

Kerstin Günther, Karl-Heinz Förster

Publication date: 17 October 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

dualityFredholm operatorsinterpolation theorycomplex interpolation methodpunctured neighborhood theorem

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Interpolation between normed linear spaces (46B70)

Related Items (2)

Representations and regularity of vector-valued right-shift invariant operators between half-line Bessel potential spaces ⋮ Stability of Fredholm properties on interpolation Banach spaces

Cites Work

• Perturbation theory for nullity, deficiency and other quantities of linear operators
• A distance between orbits that controls commutator estimates and invertibility of operators.
• Stability of Fredholm properties on interpolation scales
• Über die Invarianz einiger Räume, die zum Operator \(T-\lambda A\) gehören
• Stability in Interpolation of Families of Banach Spaces
• Stability results on interpolation scales of quasi-Banach spaces and applications
• Spectrum of interpolated operators
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