Perturbation vectors

DOI10.1007/BF01193903zbMath0941.47009OpenAlexW4234442220MaRDI QIDQ1818822

Joel D. Pincus, Richard W. Carey

Publication date: 1 August 2000

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

Full work available at URL: https://doi.org/10.1007/bf01193903

zbMATH Keywords

homologyspectral theoryKoszul complexFredholm operatorsToeplitz matricesalgebraic K-theoryjoint torsiondeterminant bundlestorsion vectorsperturbation sectionperturbation vectorsQuillen det bundlesSteinberg symbol determinanttrace class commutatorstrivialization of the pullback

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) (K)-theory and operator algebras (19K99)

Related Items (max. 100)

Functional calculus and joint torsion of pairs of almost commuting operators ⋮ Szegő via Jacobi ⋮ Borodin-Okounkov and Szegő for Toeplitz operators on model spaces ⋮ Joint torsion of several commuting operators ⋮ Steinberg symbols modulo the trace class, holonomy, and limit theorems for Toeplitz determinants ⋮ Canonical holomorphic sections of determinant line bundles ⋮ Toeplitz operators with rational symbols, reciprocity ⋮ Comparison of secondary invariants of algebraic K-theory ⋮ Joint torsion of Toeplitz operators with \(H^{\infty}\) symbols

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