English

Quasimultipliers of Operator Spaces

Operator Algebras 2007-05-23 v1 Functional Analysis

Abstract

We use the injective envelope to study quasimultipliers of operator spaces. We prove that all representable operator algebra products that an operator space can be endowed with are induced by quasimultipliers. We obtain generalizations of the Banach-Stone theorem.

Keywords

Cite

@article{arxiv.math/0312501,
  title  = {Quasimultipliers of Operator Spaces},
  author = {Masayoshi Kaneda and Vern I. Paulsen},
  journal= {arXiv preprint arXiv:math/0312501},
  year   = {2007}
}