An index theorem for multivariable Toeplitz operators

DOI10.1007/BF01199351zbMath0589.47029OpenAlexW4240782674MaRDI QIDQ1074088

Harald Upmeier

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf01199351

zbMATH Keywords

bounded symmetric domainToeplitz \(C^*\)-algebraBott elementanalytical Fredholm indicessphere bundles defined in Jordan algebraic termstopological index formula

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (Semi-) Fredholm operators; index theories (47A53) General theory of (C^*)-algebras (46L05)

Related Items

Boundary orbit strata and faces of invariant cones and complex Ol’shanskiĭ semigroups

Cites Work

• Toeplitz \(C^*\)-algebras on bounded symmetric domains
• On the index of Toeplitz operators of several complex variables
• The Poisson integral for generalized half-planes and bounded symmetric domains
• Fredholm operators associated with strongly pseudoconvex domains in \(C^n\)
• Toeplitz Operators on Bounded Symmetric Domains
• Toeplitz operators and solvable 𝐶*-algebras on Hermitian symmetric spaces
• Inversion problem for singular integral operators: C ^* -approach
• Realization of irreducible bounded symmetric domain of type $\left( V \right)$
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