THE GL-LUST. CONSTANT AND ASYMMETRY OF THE KALTON-PECK TWISTED SUM IN FINITE DIMENSIONS
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.s.t, constants. We also discuss the asymmetry constants of Z(2)(n).