Continuous Fredholm theory, regularities and semiregularities

DOI10.1007/s11785-021-01151-1zbMath1479.19005OpenAlexW3197534053MaRDI QIDQ2238514

Mohammed Berkani

Publication date: 1 November 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-021-01151-1

zbMATH Keywords

connected componentsindexhomotopyregularitiesWeyl spectrumFredholm familysemiregularitiessemi-Fredholm family

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) (Semi-) Fredholm operators; index theories (47A53) Index theory (19K56)

Cites Work

• Uniform ascent and descent of bounded operators
• On the Weyl spectrum
• Perturbation theory for linear operators.
• A new approach in index theory
• Spectral mapping theorems for essential spectra
• The index of elliptic operators. IV, V
• Axiomatic theory of spectrum III: semiregularities
• Restriction of an operator to the range of its powers
• On the axiomatic theory of spectrum II
• The Decomposition of Riesz Operators
• The index of elliptic operators on compact manifolds
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