Extremal cases of exactness constant and completely bounded projection constant

Details Extremal cases of exactness constant and completely bounded projection constant Extremal cases of exactness constant and completely bounded projection constant

2005-02-16

arxiv.org/abs/math/0502335v3

Mathematics

Functional Analysis

7 pages, The whole paper is reorganized

Scientific paper

We investigate some extremal cases of exactness constant and completely
bounded projection constant. More precisely, for an $n$-dimensional operator
space $E$ we prove that $\lambda_{cb}(E) = \sqrt{n}$ if and only if $ex(E) =
\sqrt{n}$, which is equivalent to $\lambda_{cb}(E) < \sqrt{n}$ if and only if
$ex(E) < \sqrt{n}$.

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