English

The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces

Operator Algebras 2007-05-23 v1 Functional Analysis

Abstract

The theory of one-sided MM-ideals and multipliers of operator spaces is simultaneously a generalization of classical MM-ideals, ideals in operator algebras, and aspects of the theory of Hilbert CC^*-modules and their maps. Here we give a systematic exposition of this theory; a reference tool for `noncommutative functional analysts' who may encounter a one-sided MM-ideal or multiplier in their work.

Keywords

Cite

@article{arxiv.math/0309046,
  title  = {The Calculus of One-Sided $M$-Ideals and Multipliers in Operator Spaces},
  author = {David P. Blecher and Vrej Zarikian},
  journal= {arXiv preprint arXiv:math/0309046},
  year   = {2007}
}