The GL-l.u.st. constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions

Gordon, Y.; Junge, M.; Meyer, M.; Reisner, S.

doi:10.1090/S0002-9939-2011-10715-9

The GL-l.u.st. constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions
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by Y. Gordon, M. Junge, M. Meyer and S. Reisner PDF

Proc. Amer. Math. Soc. 139 (2011), 2793-2805 Request permission

Abstract:

We prove that the Kalton-Peck twisted sum $Z_2^n$ of $n$-dimensional Hilbert spaces has a 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 also discuss the asymmetry constants of $Z_2^n$.

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