This is an announcement for the paper "The GL-l.u.st. constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions" by Y. Gordon, M. Junge, M. Meyer and S. Reisner.

Abstract: We prove that the Kalton-Peck twisted sum $Z_2^n$ of $n$-dimensional Hilbert spaces has GL-l.u.st.\ constant of order $\log n$ and bounded GL constant. This is the first concrete example which shows different explicit orders of growth in the GL and GL-l.u.st.\ constants. We discuss also the asymmetry constants of $Z_2^n$.

Archive classification: math.FA

Remarks: Proc. AMS, accepted

Submitted from: reisner@math.haifa.ac.il

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1007.4692

or

http://arXiv.org/abs/1007.4692