Embeddings of finite-dimensional operator spaces into the second dual

• Autorzy: Alvaro Arias , Timur Oikhberg
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L07: Operator spaces and completely bounded maps
• 47L25: Operator spaces (= matricially normed spaces)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 181
• Numer: 2
• Strony: 181-198

Daty

wydano

2007

Twórcy

autor

Alvaro Arias

• Department of Mathematics, University of Denver, Denver, CO 80208, U.S.A.

autor

Timur Oikhberg

• Department of Mathematics, The University of California at Irvine, Irvine, CA 92697-3875, U.S.A

Identyfikatory

DOI

10.4064/sm181-2-5