Cohomology of sheaves of Fréchet algebras and spectral theory

DOI10.1007/s10688-005-0041-5zbMath1127.47005OpenAlexW2029972468MaRDI QIDQ883693

A. A. Dosiyev

Publication date: 8 June 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-005-0041-5

zbMATH Keywords

sheaf cohomologyfunctional calculusPutinar spectrumsheaf of Fréchet algebras

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (5)

Local left invertibility for operator tuples and noncommutative localizations ⋮ Fréchet sheaves and Taylor spectrum for supernilpotent Lie algebra of operators ⋮ WHEN IS A COMPLETION OF THE UNIVERSAL ENVELOPING ALGEBRA A BANACH PI-ALGEBRA? ⋮ Formally-radical Functions in Elements of a Nilpotent Lie Algebra and Noncommutative Localizations ⋮ Noncommutative Localizations of Lie-Complete Rings

Cites Work

• A general framwork for a multi-operator functional calculus
• Algebras of power series of elements of a Lie algebra and the Slodkowski spectra
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