Logarithms of isometries and their spectral decompositions in Hardy spaces

DOI10.1007/BF01765838zbMath0811.47025MaRDI QIDQ1327135

Dimitri Karayannakis

Publication date: 15 June 1994

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

action of a normalized logarithmsurjective isometry on the Hardy \(p\)- spaces of the disk and the torus

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38)

Related Items (2)

Spectral decompositions of hyperbolic isometric groups in Hardy spaces of the disk ⋮ Norm estimates in the Hardy spaces of the disk by use of the Gamma function

Cites Work

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• Spectral families of projections in Hardy spaces
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• Stečkin's theorem, transference, and spectral decompositions
• Characterization of certain invariant subspaces of \(H^ p\) and \(L^ p\) spaces derived from logmodular algebras
• Abstract Spectral Decompositions Guaranteed by the Hilbert Transform
• One-Parameter Groups of Isometries on Hardy Spaces of the Torus
• Spectral Decompositions of One-Parameter Groups of Isometries on Hardy Spaces
• Hermitian Operators and One-Parameter Groups of Isometries in Hardy Spaces
• Mobius Transformations of the Disc and One-Parameter Groups of Isometries of H p
• Weakly Compact Groups of Operators
• On Uniquely Decomposable Well-Bounded Operators

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