Multiplier operator algebras and applications.

Blecher, David P; Zarikian, Vrej · Proc Natl Acad Sci U S A · 2004

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Abstract

The one-sided multipliers of an operator space X are a key to "latent operator algebraic structure" in X. We begin with a survey of these multipliers, together with several of the applications that they have had to operator algebras. We then describe several new results on one-sided multipliers, and new applications, mostly to one-sided M-ideals.