Elementary operators with \(H^{\infty}\)-symbols

DOI10.1007/BF01195797zbMath0639.47004OpenAlexW1966668103MaRDI QIDQ1100410

Lawrence A. Fialkow, Raúl E. Curto

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01195797

zbMATH Keywords

joint spectraunilateral shiftanalytic Toeplitz operatorsc.n.u. contraction on Hilbert spacecompact subsets of the maximal ideal spaceHarte and Taylor spectraspectral and index theories of elementary operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Commutators, derivations, elementary operators, etc. (47B47) (Semi-) Fredholm operators; index theories (47A53) Equations involving linear operators, with operator unknowns (47A62)

Related Items (2)

Joint spectrum of subnormal $n$-tuples of composition operators ⋮ The Finite Fibre Problem and an Index Formula for Elementary Operators

Cites Work

• On spectral mapping theorems
• A joint spectrum for several commuting operators
• The analytic-functional calculus for several commuting operators
• Spectral Properties of Elementary Operators. II
• An axiomatic approach to joint spectra I
• Functional calculus and the Gelfand transformation
• The extended spectrum of completely non-unitary contractions and the spectral mapping theorem
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