On the Fredholm and Weyl spectrum of several commuting operators

Details On the Fredholm and Weyl spectrum of several commuting operators On the Fredholm and Weyl spectrum of several commuting operators

2005-09-08

arxiv.org/abs/math/0509184v1

Mathematics

Operator Algebras

13 pages

Scientific paper

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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