One-sided M-Ideals and Multipliers in Operator Spaces, I

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dc.creatorBlecher, David P.
dc.creatorEffros, Edward G.
dc.creatorZarikian, Vrej
dc.date2000-12-13
dc.date2002-11-22
dc.date.accessioned2026-07-07T04:39:12Z
dc.date.available2026-07-07T04:39:12Z
dc.descriptionThe theory of M-ideals and multiplier mappings of Banach spaces naturally generalizes to left (or right) M-ideals and multiplier mappings of operator spaces. These subspaces and mappings are intrinsically characterized in terms of the matrix norms. In turn this is used to prove that the algebra of left adjointable mappings of a dual operator space X is a von Neumann algebra. If in addition X is an operator A--B-bimodule for $C^{*}$-algebras A and B, then the module operations on X are automatically weak$^{*}$ continuous. One sided L-projections are introduced, and analogues of various results from the classical theory are proved. An assortment of examples is considered.
dc.identifierhttps://arxiv.org/abs/math/0012105
dc.identifierhttp://arxiv.org/abs/math/0012105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60566
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectPrimary 46L07; Secondary 46L08
dc.titleOne-sided M-Ideals and Multipliers in Operator Spaces, I
dc.typetext

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