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On the Fredholm and Weyl spectrum of several commuting operators

2005/09/08 by R. Levy, Levy, R.
Mathematics · #47A11 #47A13 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA) #math.OA #msc:47A11 #msc:47A13

paper · pdf · doi:10.48550/arxiv.math/0509184

13 pages

arxiv created 2005/09/08 · openalex publication_date 2005/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper one considers the local structure of the Fredholm joint spectrum of commuting n-tuples of operators. A connection between the spatial characteristics of operators and the algebraic invariant of the corresponding coherent sheaves is investigated. A notion of Weyl joint spectrum of commuting n-tuple is introduced.

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