Journal article
A generalization of Macaev's theorem to non-commutative L.sup.P-spaces
Integral equations and operator theory, Vol.10(2), p.164
03/01/1987
DOI: 10.1007/BF01199077
Abstract
For 1<p<[infinity] the non-commutative L.sup.P-spaces associated with a von Neumann algebra are shown to belong to the class UMD (that is, to possess the unconditionality property for martingale differences). With the aid of a recent result of the authors, which permits the classical Hilbert transform to be transferred to UMD spaces, a generalization of Macaev's theorem to non-commutative L.sup.P-spaces is introduced. This generalization utilizes the Hilbert kernel in a central role, broadens the "harmonic conjugation" aspects of Macaev's theorem, and provides a universal bound depending only on p.
Details
- Title: Subtitle
- A generalization of Macaev's theorem to non-commutative L.sup.P-spaces
- Creators
- Earl BerksonT. A GillespiePaul S Muhly
- Resource Type
- Journal article
- Publication Details
- Integral equations and operator theory, Vol.10(2), p.164
- Publisher
- Springer
- DOI
- 10.1007/BF01199077
- ISSN
- 0378-620X
- eISSN
- 1420-8989
- Language
- English
- Date published
- 03/01/1987
- Description audience
- Academic
- Academic Unit
- Mathematics; Statistics and Actuarial Science
- Record Identifier
- 9984083235102771
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