Base change and the Fredholm index

DOI10.1007/BF01201709zbMath0582.47017OpenAlexW2319596565MaRDI QIDQ1068339

Mihai Putinar

Publication date: 1985

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01201709

zbMATH Keywords

generalized Fredholm indexanalytic sheafbase change theorem for analytic parametrized Fredholm complexes, under analytic mapsmultidimensional Fredholm theorystability and transformation propertiesTaylor's joint spectrumTor-intersection condition between two Banach modules over the algebra of entire functions in n variables

Mathematics Subject Classification ID

Analytic sheaves and cohomology groups (32C35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53)

Related Items (6)

Principal currents ⋮ The Euler characteristic is stable under compact perturbations ⋮ Estimates for Hilbertian Koszul homology ⋮ The Finite Fibre Problem and an Index Formula for Elementary Operators ⋮ The Fredholm index of a pair of commuting operators. II ⋮ A transformation rule for the index of commuting operators

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• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• FREDHOLM COMPLEXES

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