Tsirelson like operator spaces

Abstract

We construct nontrivial examples of weak-$C_p$ ($1\le p\le \infty$) operator spaces with the local operator space structure very close to $C_p=[R,C{]}_{\frac{1}{p}}$. These examples are non-homogeneous Hilbertian operator spaces, and their constructions are similar to that of 2-convexified Tsirelson's space by W. B. Johnson.

19 pages

References in corpus (1)

• Type and cotype of operator spaces