Column and row operator spaces over QSL_p-spaces and their use in abstract harmonic analysis

Details Column and row operator spaces over QSL_p-spaces and their use in abstract harmonic analysis Column and row operator spaces over QSL_p-spaces and their use in abstract harmonic analysis

2007-11-13

arxiv.org/abs/0711.2057v3

J. Math. Anal. Appl. 349 (2009), 21-29

Mathematics

Functional Analysis

21 pages; some nip 'n tuck

Scientific paper

The notions of column and row operator space were extended by A. Lambert from Hilbert spaces to general Banach spaces. In this paper, we use column and row spaces over quotients of subspaces of general $L_p$-spaces to equip several Banach algebras occurring naturally in abstract harmonic analysis with canonical, yet not obvious operator space structures that turn them into completely bounded Banach algebras. We use these operator space structures to gain new insights on those algebras.

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