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math.OA2003★ 33 cited
The Calculus of One-Sided -Ideals and Multipliers in Operator Spaces
David P. Blecher, Vrej Zarikian
The theory of one-sided -ideals and multipliers of operator spaces is simultaneously a generalization of classical -ideals, ideals in operator algebras, and aspects of the th…
math.OA2002
One-Sided Projections on C*-algebras
David P. Blecher, Roger R. Smith, Vrej Zarikian
In [BEZ] the notion of a complete one-sided M-ideal for an operator space X was introduced as a generalization of Alfsen and Effros' notion of an M-ideal for a Banach space [AE72].…
math.OA2000
One-sided M-Ideals and Multipliers in Operator Spaces, I
David P. Blecher, Edward G. Effros, Vrej Zarikian
The 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 ma…