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.
Bibliographical noteFunding Information:
The project was funded by the Australian Government Department of Foreign Affairs and Trade’s ( DFAT ) innovationXchange (iXc).
- Banach spaces
- Local unconditional structure
ASJC Scopus subject areas
- Mathematics (all)
- Applied Mathematics