Functional calculus on Noetherian schemes

DOI10.1016/j.crma.2014.10.007zbMath1317.47020OpenAlexW1983550583MaRDI QIDQ2255252

A. A. Dosiyev

Publication date: 9 February 2015

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.10.007

zbMATH Keywords

holomorphic functional calculusquasi-coherent sheafNoetherian schemeTaylor's joint spectrum

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Varieties and morphisms (14A10) Schemes and morphisms (14A15)

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Cites Work

• A general framwork for a multi-operator functional calculus
• Cartan--Slodkowski spectra, splitting elements and noncommutative spectral mapping theorems
• Spectral theory and sheaf theory. II
• Projective spectrum and cyclic cohomology
• A joint spectrum for several commuting operators
• Formally-radical Functions in Elements of a Nilpotent Lie Algebra and Noncommutative Localizations
• PROJECTIVE SPECTRUM IN BANACH ALGEBRAS
• Spectrum for a solvable Lie algebra of operators
• Projective modules over polynomial rings
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