scientific article

zbMath0704.46047MaRDI QIDQ3483861

Roni N. Levy

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Koszul complexsheaf cohomologymultidimensional Fredholm theoryjoint essential spectrumK-functorsabstract indicescohomology sheaf theoryFredholm theory for commutative and essentially commutative n-tuples of bounded linear operators, acting on a complex Banach spaceGrothendieck group of analytic coherent sheavesmultidimensional spectral theorytopological K- cohomology group

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) Index theory (19K56) Topological (K)-theory (19L99) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25)

Related Items (4)

Estimates for Hilbertian Koszul homology ⋮ The Finite Fibre Problem and an Index Formula for Elementary Operators ⋮ The Fredholm index of a pair of commuting operators. II ⋮ A transformation rule for the index of commuting operators

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