Fredholm multiplication and composition operators on the Hardy space

DOI10.1007/BF01210404zbMath0723.47024OpenAlexW2313325329MaRDI QIDQ756674

Paul S. Bourdon

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01210404

zbMATH Keywords

Fredholm multiplication and composition operators on the Hardy space \(H^ 2\)

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38)

Related Items

Fredholm composition operators on spaces of holomorphic functions ⋮ Some properties of composition-differentiation operators ⋮ Hardy spaces of generalized analytic functions and composition operators ⋮ Operators on differential form spaces for Riemann surfaces ⋮ Fredholm weighted generalized composition operators ⋮ Fredholm composition operators on Hardy-Sobolev spaces with bounded reproducing kernel ⋮ Fredholm composition operators and proper holomorphic mappings ⋮ Fredholm weighted composition operators ⋮ Fredholm composition operators ⋮ Multiplication operator with BMO symbols and Berezin transform ⋮ Fredholm weighted composition operators on weighted Banach spaces of analytic functions of type \(H^\infty\) ⋮ Fredholmness of multiplication of a weighted composition operator with its adjoint on \(H^{2}\) and \(A_{\alpha}^{2}\) ⋮ Composition operators on a Banach space of analytic functions ⋮ Composition and Toeplitz operators on general domains ⋮ Fredholm weighted composition operators ⋮ Fredholm composition operators on Riemann surfaces

Cites Work

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• Invariant subspaces and unstarred operator algebras
• Finite Codimensional Invariant Subspaces of Bergman Spaces
• Cyclic Vectors and Parts of the Spectrum of a Weighted Shift

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