Embeddings of finite-dimensional operator spaces into the second dual

Alvaro Arias; Timur Oikhberg

doi:10.4064/sm181-2-5

Embeddings of finite-dimensional operator spaces into the second dual

Research output: Contribution to journal › Article › peer-review

Abstract

We show that, if a a finite-dimensional operator space E is such that X contains E C-completely isomorphically whenever X** contains E completely isometrically, then E is 2¹⁵C¹¹-completely isomorphic to R_m, ⊕ C_n for some n, m ∈ ℕ ∪ {0}. The converse is also true: if X** contains R_m ⊕ C_n λ-completely isomorphically, then X contains R _m ⊕ C_n (2λ + ε-completely isomorphically for any ε > 0.

Original language	English (US)
Pages (from-to)	181-198
Number of pages	18
Journal	Studia Mathematica
Volume	181
Issue number	2
DOIs	https://doi.org/10.4064/sm181-2-5
State	Published - 2007
Externally published	Yes

Keywords

Duality of operator spaces
Local reflexivity

ASJC Scopus subject areas

General Mathematics

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10.4064/sm181-2-5

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KW - Duality of operator spaces

KW - Local reflexivity

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Embeddings of finite-dimensional operator spaces into the second dual

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