Espace de Hilbert d'op\'erateurs et Interpolation complexe
Functional Analysis
2016-09-06 v1
Abstract
Let be an infinite dimensional Hilbert space. We show that there exists a subspace of which is isometric to and completely isometric to its antidual in the sense of the theory of operator spaces recently developed by Blecher-Paulsen and Effros-Ruan. Moreover this space is unique up to a complete isometry. We denote it by . This space has several remarkable properties in particular with respect to the complex interpolation method.
Cite
@article{arxiv.math/9212208,
title = {Espace de Hilbert d'op\'erateurs et Interpolation complexe},
author = {Gilles Pisier},
journal= {arXiv preprint arXiv:math/9212208},
year = {2016}
}