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

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

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2793-2805
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	139
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-2011-10715-9
State	Published - 2011

Bibliographical note

Funding Information:
The project was funded by the Australian Government Department of Foreign Affairs and Trade’s ( DFAT ) innovationXchange (iXc).

Keywords

Asymmetry
Banach spaces
Local unconditional structure

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-2011-10715-9

Cite this

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KW - Local unconditional structure

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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