Differentiation in star-invariant subspaces. II: Schatten class criteria

DOI10.1006/jfan.2001.3921zbMath1011.47006OpenAlexW2019961283MaRDI QIDQ1849052

Konstantin M. Dyakonov

Publication date: 28 November 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2001.3921

zbMATH Keywords

Blaschke productinner functionSchatten-von Neumann classesdifferentiation operatorstar-invariant subspaces

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Invariant subspaces of linear operators (47A15)

Related Items

Necessary and sufficient condition for boundedness of translation operator in de Branges spaces ⋮ Operator Lipschitz functions and model spaces ⋮ Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings

Cites Work

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• On the Hausdorff-Young theorem for integral operators
• Differentiation in star-invariant subspaces. I: Boundedness and compactness
• One dimensional perturbations of restricted shifts
• On the zeros and Fourier transforms of entire functions in the Paley–Wiener space