𝐶*-algebras generated by a subnormal operator

DOI10.1090/S0002-9947-99-02389-2zbMath0910.47016MaRDI QIDQ4226682

Kit C. Chan, Željko Čučković

Publication date: 27 January 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceBergman spaceanalytic functions\(C^*\)-algebrasjoint spectrumfunctional calculusnormal operatorsubnormal operatorsgeneralized Toeplitz operatorsinjective subnormal weighted shift

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) General theory of (C^*)-algebras (46L05) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (1)

Xia's analytic model of a subnormal operator and its applications

Cites Work

• Subnormal weighted shifts and related function spaces
• Subnormal weighted shifts and related function spaces. II
• Function spaces associated with radially symmetric measures
• Multiplication by the coordinate functions on the Hardy space of the unit sphere in \(\mathbb{C}^n\)
• Subnormal Operators, Toeplitz Operators and Spectral Inclusion
• Characters on Singly Generated C ∗ -Algebras
• The Joint Spectrum of Commuting Nonnormal Operators
• Joint spectra
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