Spectral theory for one-parameter groups of isometries

DOI10.1016/0022-247X(92)90194-IzbMath0834.47035OpenAlexW2053544109MaRDI QIDQ1206833

Palle E. T. Jorgensen

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90194-i

zbMATH Keywords

spectral continuity\({\mathcal L}^ p\)-integrability conditionsabsolute continuity of the spectral resolutionone-parameter groups of automorphisms of \(C^*\)-algebrasone-parameter groups of isometries in Banach spaceresolvent type conditionsunitary one-parameter group of operators in Hilbert space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Noncommutative dynamical systems (46L55)

Related Items (3)

On Bernstein type theorems concerning the growth of derivatives of entire functions ⋮ Boundary uniqueness of harmonic functions and spectral subspaces of operator groups ⋮ Continuous spectrum of automorphism groups and the infraparticle problem

Cites Work

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• Ergodic properties of one-parameter automorphism groups of operator algebras
• Self adjoint extensions satisfying the Weyl operator commutation relations
• On groups of automorphisms of operator algebras
• Analyticity and flows in von Neumann algebras
• Spectral theory for infinitesimal generators of one-parameter groups of isometries: The min-max principle and compact perturbations
• Structure of the predual of a JBW*-triple.
• Causality and Analyticity

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