Fredholmness of Toeplitz operators on the Fock space

DOI10.1007/s11785-018-0803-8OpenAlexW2753003487MaRDI QIDQ2421354

Robert Fulsche, Raffael Hagger

Publication date: 17 June 2019

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01457

zbMATH Keywords

essential spectrumToeplitz operatorsFock spacesFredholm criterionlimit operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Bergman spaces of functions in several complex variables (32A36) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (12)

Limit operators techniques on general metric measure spaces of bounded geometry ⋮ Fredholm and Schatten class operators on Bergman spaces with exponential weights ⋮ Toeplitz and related operators on polyanalytic Fock spaces ⋮ Berger-Coburn Theorem, Localized Operators, and the Toeplitz Algebra ⋮ A Wiener Tauberian theorem for operators and functions ⋮ Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces ⋮ Limit operators, compactness and essential spectra on bounded symmetric domains ⋮ Fredholm Toeplitz operators with VMO symbols and the duality of generalized Fock spaces with small exponents ⋮ Fredholm Toeplitz operators on doubling Fock spaces ⋮ Correspondence theory on \(p\)-Fock spaces with applications to Toeplitz algebras ⋮ Toeplitz operators on pluriharmonic function spaces: deformation quantization and spectral theory ⋮ Band-dominated operators on Bergman-type spaces

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