A generalization of Macaev's theorem to non-commutative \(L^ p\)-spaces

DOI10.1007/BF01199077zbMath0618.46052MaRDI QIDQ1822311

Earl Berkson, Paul S. Muhly, T. Alastair Gillespie

Publication date: 1987

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Hilbert transformHilbert kernelunconditionality property for martingale differencesharmonic conjugationclass UMDgeneralization of Macaev's theorem to non-commutative \(L^ p\)-spacesnon-commutative \(L^ p\)-spaces associated with a von Neumann algebra

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Classical Banach spaces in the general theory (46B25) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Martingales and classical analysis (60G46) States of selfadjoint operator algebras (46L30)

Related Items

The Matsaev theorem for symmetric spaces of measurable operators ⋮ Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces ⋮ Generalized analyticity in UMD spaces ⋮ Distributional control and generalized analyticity ⋮ Representations of groups with ordered duals and generalized analyticity

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