A model for \((n,p)\)-hypercontractions on Banach space

DOI10.1016/J.INDAG.2015.02.003zbMath1380.47009OpenAlexW2049007347MaRDI QIDQ2343547

Caixing Gu, Zheng-Li Chen

Publication date: 6 May 2015

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.02.003

zbMATH Keywords

Banach spacemodel operatorweighted backward shift\((m,p)\)-isometryhypercontraction

Mathematics Subject Classification ID

Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (5)

Weighted shifts on directed trees with one branching vertex: \(n\)-contractivity and hyponormality ⋮ Higher-order de Branges-Rovnyak and sub-Bergman spaces ⋮ Norm inequalities for hypercontractive quasinormal operators and related higher order Sylvester-Stein equations in ideals of compact operators ⋮ Adjoints of composition operators with irrational symbol ⋮ Functional calculus for m-isometries and related operators on Hilbert spaces and Banach spaces

Cites Work

• On the second parameter of an \((m, p)\)-isometry
• The Arveson extension theorem and coanalytic models
• \(m\)-isometric transformations of Hilbert space. I
• \(m\)-isometric transformations of Hilbert space. III
• On \((m, p)\)-expansive and \((m, p)\)-contractive operators on Hilbert and Banach spaces
• The \((m,q)\)-isometric weighted shifts on \(l_{p}\) spaces
• m-isometries on Banach spaces
• On models for linear operators
• On completely hyperexpansive operators
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