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An analogue of an inequality of J. von Neumann, isometric dilation of contractions, and approximation by isometries in spaces of measurable functions

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Publication:1839420
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zbMath0512.47008MaRDI QIDQ1839420

Vladimir V. Peller

Publication date: 1983

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

inequality of von Neumannapproximation by isometriesisometric dilation of contractions


Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Ergodic theory of linear operators (47A35) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Functional calculus for linear operators (47A60) Dilations, extensions, compressions of linear operators (47A20)


Related Items

Equations d'évolution linéaires associées à des semi-groupes de contractions dans les espaces \(L^ p\). (Evolution equations associated to contraction semigroups in \(L^ p\) spaces), A counterexample to a conjecture of Matsaev, Dilations of semigroups on von Neumann algebras and noncommutative \(L^{p}\)-spaces



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