Local properties of Taylor's analytic functional calculus

DOI10.1007/BF01394269zbMath0503.47014MaRDI QIDQ1173252

Jörg Eschmeier

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142927

zbMATH Keywords

Taylor spectrumlocal spectrumsingle valued extension propertycommuting systems of operatorslocal analytic functional calculuslocal spectral mapping theoremlocal version of Shilov's idempotent theorem

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60)

Related Items (8)

Spectral theory and sheaf theory. II ⋮ Jörg Eschmeier's mathematical work ⋮ Joint spectrum and joint distribution ⋮ Commuting linear operators and decompositions; applications to Einstein manifolds ⋮ On generalized criss-cross and near-commutativity forn-tuples ⋮ Spectral properties of commuting operations for 𝑛-tuples ⋮ Equivalence of decomposability and 2-decomposability for several commuting operators ⋮ Spectral decompositions and decomposable multipliers

Cites Work

• Homology and cohomology for topological algebras
• A general framwork for a multi-operator functional calculus
• Funktionalkalküle in mehreren Veränderlichen für stetige lineare Operatoren auf Banachräumen
• The Taylor spectrum and spectral decompositions
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Analytic functions of several Banach algebra elements
• On the decomposition of a commutative normed ring into a direct sum of ideals
• On joint spectra
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