Spectral theory and sheaf theory. II

DOI10.1007/BF01164022zbMath0608.47011MaRDI QIDQ1086482

Mihai Putinar

Publication date: 1986

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173751

zbMATH Keywords

local spectral theorysheaf modelanalytic non-coherent sheavesduality between spectral decompositions and the Fredholm theory of commutative n-tuples of linear operators acting on Fréchet spacesmulti-dimensional spectral theorysheaf theoretic methodssubnormal n-tuples of operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Analytic subsets and submanifolds (32C25) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (13)

Spectral theory of Reinhardt measures ⋮ The eigensheaf of an operator ⋮ Jörg Eschmeier's mathematical work ⋮ An additive formula for Samuel multiplicities on Hilbert spaces of analytic functions ⋮ Estimates for Hilbertian Koszul homology ⋮ Functional calculus on Noetherian schemes ⋮ Quasi-similarity of tuples with Bishop's property \((\beta{})\) ⋮ The Fredholm index of a pair of commuting operators. II ⋮ Unitary invariants for Hilbert modules of finite rank ⋮ Unnamed Item ⋮ Fiber dimension for invariant subspaces ⋮ The Dirac operator of a commuting \(d\)-tuple. ⋮ Spectral decompositions and decomposable multipliers

Cites Work

• Homology and cohomology for topological algebras
• A general framwork for a multi-operator functional calculus
• A duality theorem for an arbitrary operator
• Number of lattice points in families of homothetic domains in \(R^ n\)
• Local properties of Taylor's analytic functional calculus
• Résidus et dualité
• On equivalence of decomposable and 2-decomposable operators
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Ein einfacher Beweis des Kohärenzsatzes von Grauert. (A simple proof of Grauert's coherence theorem)
• Generalized Bergman Kernels and the Cowen-Douglas Theory
• BANACH Coherent Analytic FRÉCHET Sheaves
• Complex geometry and operator theory
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