\(L^1\)-factorization for \(C_{00}\)-contractions with isometric functional calculus

DOI10.1006/jfan.1997.3200zbMath0914.47013OpenAlexW1493677429MaRDI QIDQ1270225

Isabelle Chalendar, Jean Esterle

Publication date: 21 October 1998

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

Full work available at URL: https://doi.org/10.1006/jfan.1997.3200

zbMATH Keywords

spectral measureFourier coefficientscanonical decompositionisometric \(H^\infty\)-functional calculus

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Functional calculus for linear operators (47A60) Invariant subspaces of linear operators (47A15) Dilations, extensions, compressions of linear operators (47A20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Cites Work

• Dilation theory and systems of simultaneous equations in the predual of an operator algebra. I
• Factorization theorems and the structure of operators on Hilbert space
• On the structure of contraction operators with applications to invariant subspaces
• Invariant subspaces, dilation theory, and the structure of the predual of a dual algebra. I
• A problem of Douglas and Rudin on factorization
• A contribution to the structure theory of operators in the class \({\mathbb{A}}\)
• Two Banach space methods and dual operator algebras
• On functions of bounded mean oscillation
• Notes on invariant subspaces
• A sharp correction theorem
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