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

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

Research output: Contribution to journalArticlepeer-review

Abstract

We prove that the Kalton-Peck twisted sum Zn2 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 Zn2.

Original languageEnglish (US)
Pages (from-to)2793-2805
Number of pages13
JournalProceedings of the American Mathematical Society
Volume139
Issue number8
DOIs
StatePublished - 2011

Keywords

  • Asymmetry
  • Banach spaces
  • Local unconditional structure

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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