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

dc.creatorNeufang, Matthias
dc.creatorRunde, Volker
dc.date2007-11-13
dc.date2008-08-31
dc.date.accessioned2026-07-07T10:19:52Z
dc.date.available2026-07-07T10:19:52Z
dc.descriptionThe 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.
dc.description21 pages; some nip 'n tuck
dc.identifierhttps://arxiv.org/abs/0711.2057
dc.identifierhttp://arxiv.org/abs/0711.2057
dc.identifierJ. Math. Anal. Appl. 349 (2009), 21-29
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174667
dc.subjectFunctional Analysis
dc.subject43A65 (Primary); 22D12, 43A30, 46H25, 46J99, 47L25, 47L50 (Secondary)
dc.titleColumn and row operator spaces over QSL_p-spaces and their use in abstract harmonic analysis
dc.typetext

Files

Collections