Stability of the index of a semi-Fredholm complex of Banach spaces

DOI10.1016/0022-1236(86)90070-4zbMath0592.47008OpenAlexW1971906759MaRDI QIDQ1075572

Ernst Albrecht, Florian-Horia Vasilescu

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90070-4

zbMATH Keywords

perturbationslinear operatorsgap topologycomplexes of Banach spaces and closed linear operatorssemicontinuity for joint spectra of finite systems of commutingsemicontinuity for joint spectra of finite systems of commuting linear operatorssemicontinuity of the cohomology groups of semi- Fredholmsemicontinuity of the cohomology groups of semi-Fredholm complexes of Banach spaces and closed linear operatorsstability of the index

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53)

Related Items

On Fredholm index in Banach spaces ⋮ TOPOLOGIES ON THE SET OF ALL SUBSPACES OF A BANACH SPACE AND RELATED QUESTIONS OF BANACH SPACE GEOMETRY ⋮ Commutator estimates for interpolation scales with holomorphic structure ⋮ The Euler characteristic is stable under compact perturbations ⋮ Some results on semi-Fredholm perturbations of multivalued linear operators ⋮ Homogeneous operators and essential complexes ⋮ Quotient morphisms, compositions, and Fredholm index ⋮ A KATO PERTURBATION-TYPE RESULT FOR OPEN LINEAR RELATIONS IN NORMED SPACES ⋮ A perturbation result for \(q\)-open quotient morphisms in normed spaces and applications to linear relations ⋮ On the index of Fredholm pairs of idempotents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über den Index abgeschlossener Operatoren in Banachräumen
• A joint spectrum for several commuting operators
• BANACH BUNDLES AND LINEAR OPERATORS
• Upper and Lower Fredholm Spectra
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
• Integral Representation Formulas and $L^p$-Estimates for the $\bar{\partial}$-Equation.
• LIMIT-COMPACT AND CONDENSING OPERATORS
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• Mappings Between Function Spaces