Journal of Operator Theory

Volume 62, Issue 2, Fall 2009 pp. 327-340.

A representation theorem for completely contractive dual banach algebras

Authors: Faruk Uygul
Author institution: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, T6G 2G1, Canada

Summary: In this paper, we prove that every completely contractive dual Banach algebra is completely isometric to a $\mathrm w^\ast$-closed subalgebra of the operator space of completely bounded linear operators on some reflexive operator space.

Keywords: Operator spaces, interpolations, representation

Contents Full-Text PDF