Similarity to a contraction and hypercontractivity of composition operators

DOI10.1090/S0002-9939-00-05843-3zbMath0967.47017OpenAlexW1575214853MaRDI QIDQ2718976

Nizar Jaoua

Publication date: 14 May 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05843-3

zbMATH Keywords

Hardy spacescomposition operatorscontraction operator\(\beta\)-contractive operatorhypercontractive operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Positive linear operators and order-bounded operators (47B65)

Related Items (2)

Similarity to an isometry of a composition operator ⋮ Composition operators on Hardy-Orlicz spaces

Cites Work

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• Logarithmic Sobolev inequalities and hypercontractive estimates on the circle
• The spectra of composition operators on H\(^p\)
• Two classroom proofs concerning composition operators
• Similarity problems and completely bounded maps
• Composition Operators which Improve Integrability
• A polynomially bounded operator on Hilbert space which is not similar to a contraction
• Composition Operators

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