This is an announcement for the paper "Tsirelson like operator spaces" by Hun Hee Lee.

Abstract: We construct nontrivial examples of weak-$C_p$ ($1\leq p \leq \infty$) 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.

Archive classification: math.FA math.OA

Mathematics Subject Classification: 47L25; 46B07

Remarks: 19 pages

The source file(s), TsirelsonLikeOS.tex: 54208 bytes, is(are) stored in gzipped form as 0707.0147.gz with size 13kb. The corresponding postcript file has gzipped size 113kb.

Submitted from: lee.hunhee@gmail.com

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