Homological methods in Taylor's holomorphic calculus of several operators in a Banach space

DOI10.1070/RM1981v036n01ABEH002543zbMath0495.46047MaRDI QIDQ3958966

Alexander Ya. Helemskii

Publication date: 1981

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

Koszul complextensor productmodulehomological methodsderived functorsKoszul resolutionjoint Taylor spectrumholomorphic functional calculus for several operators on Banach spaceshomological technologylocally convex homologyprojective modules and resolutionsTor-spaceTor-spacestorsion preserving homomorphisms

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Functional calculus in topological algebras (46H30) Tensor products in functional analysis (46M05)

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Cyclic homology of differential operators, Multiparameter spectral theory and Taylor's joint spectrum in Hilbert space