A note concerning the index of the shift

DOI10.1090/S0002-9939-02-06464-XzbMath1027.47011OpenAlexW1586562419MaRDI QIDQ4539855

John R. Akeroyd

Publication date: 11 July 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06464-x

zbMATH Keywords

invariant subspaceBorel measureshift operator

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Approximation in the complex plane (30E10) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

On nontangential limits and shift invariant subspaces

Cites Work

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• Some subnormal operators not in \({\mathbb{A}}_ 2\)
• Invariant subspaces of the Bergman space and some subnormal operators in \(\mathbb{A}_ 1\backslash\mathbb{A}_ 2\)
• The commutant of mulitplication by \(z\) on the closure of polynomials in \(L^ t(\mu)\)
• Mean-Square Approximation by Polynomials on the Unit Disk
• Another look at some index theorems for the shift
• An extension of Szego's theorem, II
• Invariant subspaces with the codimension one property in L^{t\mu}
• Interpolating sequences and invariant subspaces of given index in the Bergman spaces.
• A Subnormal Operator and its Dual
• Approximation in the mean by polynomials

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