Embeddings of finite-dimensional operator spaces into the second dual

Alvaro Arias, and Timur Oikhberg. "Embeddings of finite-dimensional operator spaces into the second dual." Studia Mathematica 181.2 (2007): 181-198. <http://eudml.org/doc/284544>.

@article{AlvaroArias2007,
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 $2^\{15\} C^\{11\}$-completely isomorphic to Rₘ ⊕ Cₙ for some n, m ∈ ℕ ∪ 0. The converse is also true: if X** contains Rₘ ⊕ Cₙ λ-completely isomorphically, then X contains Rₘ ⊕ Cₙ (2λ + ε)-completely isomorphically for any ε > 0.},
author = {Alvaro Arias, Timur Oikhberg},
journal = {Studia Mathematica},
keywords = {local reflexivity; duality of operator spaces},
language = {eng},
number = {2},
pages = {181-198},
title = {Embeddings of finite-dimensional operator spaces into the second dual},
url = {http://eudml.org/doc/284544},
volume = {181},
year = {2007},
}

TY - JOUR
AU - Alvaro Arias
AU - Timur Oikhberg
TI - Embeddings of finite-dimensional operator spaces into the second dual
JO - Studia Mathematica
PY - 2007
VL - 181
IS - 2
SP - 181
EP - 198
AB - 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 $2^{15} C^{11}$-completely isomorphic to Rₘ ⊕ Cₙ for some n, m ∈ ℕ ∪ 0. The converse is also true: if X** contains Rₘ ⊕ Cₙ λ-completely isomorphically, then X contains Rₘ ⊕ Cₙ (2λ + ε)-completely isomorphically for any ε > 0.
LA - eng
KW - local reflexivity; duality of operator spaces
UR - http://eudml.org/doc/284544
ER -