Type and cotype of operator spaces

• Autorzy: Hun Hee Lee
• Języki publikacji: EN

Abstrakty

EN

We consider two operator space versions of type and cotype, namely $S_{p}$-type, $S_{q}$-cotype and type (p,H), cotype (q,H) for a homogeneous Hilbertian operator space H and 1 ≤ p ≤ 2 ≤ q ≤ ∞, generalizing "OH-cotype 2" of G. Pisier. We compute type and cotype of some Hilbertian operator spaces and $L_{p}$ spaces, and we investigate the relationship between a homogeneous Hilbertian space H and operator spaces with cotype (2,H). As applications we consider operator space versions of generalized little Grothendieck's theorem and Maurey's extension theorem in terms of these new notions.

Kategorie tematyczne

• 47L25: Operator spaces (= matricially normed spaces)
• 46B07: Local theory of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2008
• Tom: 185
• Numer: 3
• Strony: 219-247

Daty

wydano

2008

Twórcy

autor

Hun Hee Lee

• Department of Pure Mathematics, Faculty of Mathematics, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1

Identyfikatory

DOI

10.4064/sm185-3-2