Reciprocity for Fredholm operators (Lefschetz numbers/Steinberg symbols/holomorphic chains/local index)

DOI10.1007/BF01204625zbMath0622.47009MaRDI QIDQ1090902

Joel D. Pincus, Richard W. Carey

Publication date: 1986

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Fredholm operatorsLefschetz numberindex theoryalgebraic K-theoryanalytic dependence on parametersanalytic chainessential joint spectrum of a pair of commuting bounded operators acting on a Hilbert spaceFredholm number

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (Semi-) Fredholm operators; index theories (47A53) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (6)

Symmetric and self-adjoint Toeplitz operators on multiply connected plane domains ⋮ Functional calculus and joint torsion of pairs of almost commuting operators ⋮ Joint torsion of several commuting operators ⋮ Toeplitz operators with rational symbols, reciprocity ⋮ A remark on the spectral multiplicity of normal extensions of commuting subnormal operator tuples ⋮ Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols

Cites Work

• Principal currents
• On holomorphic families of subspaces of a Banach space
• The spectrum of difference operators and algebraic curves
• On the removal of singularities of analytic sets
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Fredholm and Invertible n-Tuples of Operators. The Deformation Problem
• Introduction to Algebraic K-Theory. (AM-72)
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