Compactification, and beyond, of composition operators on Hardy spaces by weights

DOI10.5186/aasfm.2021.4602zbMath1494.47040arXiv1904.06992OpenAlexW3176793119MaRDI QIDQ4958508

Daniel Li, Luis Rodríguez-Piazza, Hervé Queffélec, Pascal Lefèvre

Publication date: 14 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06992

zbMATH Keywords

compactificationapproximation numberscomposition operatorSchatten classes\(p\)-summing operatorsHilbert-Schmidt operatordecompactification

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spaces of operators; tensor products; approximation properties (46B28) Linear composition operators (47B33)

Related Items (3)

Compactification and decompactification by weights on Bergman spaces ⋮ Composition operators on Hardy-Smirnov spaces ⋮ Weighted composition operators on Hardy-Smirnov spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new properties of composition operators associated with lens maps
• Boundedness, compactness and Schatten-class membership of weighted composition operators
• Approximation numbers of weighted composition operators
• On approximation numbers of composition operators
• Some examples of compact composition operators on \(H^2\)
• Composition operators and classical function theory
• Absolutely summing Carleson embeddings on Hardy spaces
• Trace ideal criteria for Toeplitz operators
• Frames and operators in Schatten classes
• Some examples of composition operators and their approximation numbers on the Hardy space of the bidisk
• Composition operators on Hardy-Orlicz spaces

This page was built for publication: Compactification, and beyond, of composition operators on Hardy spaces by weights