Espace de Hilbert d'opérateurs et Interpolation complexe

Details Espace de Hilbert d'opérateurs et Interpolation complexe Espace de Hilbert d'opérateurs et Interpolation complexe

1992-12-09

arxiv.org/abs/math/9212208v1

Mathematics

Functional Analysis

Scientific paper

Let $H$ be an infinite dimensional Hilbert space. We show that there exists a subspace of $B(H)$ which is isometric to $\ell_2$ 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 $OH$. This space has several remarkable properties in particular with respect to the complex interpolation method.

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