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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).
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https://hal-upec-upem.archives-ouvertes.fr/hal-00692983
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Submitted on : Tuesday, May 1, 2012 - 7:12:35 PM
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Y. Gordon, M. Junge, Mathieu Meyer, S. Reisner. THE GL-LUST. CONSTANT AND ASYMMETRY OF THE KALTON-PECK TWISTED SUM IN FINITE DIMENSIONS. Proceedings of the American Mathematical Society, American Mathematical Society, 2011, 139 (8), pp.2793--2805. ⟨10.1090/S0002-9939-2011-10715-9⟩. ⟨hal-00692983⟩

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