HYPERPLANE CONJECTURE FOR QUOTIENT-SPACES OF L(P)

Authors
JUNGE M
Citation
M. Junge, HYPERPLANE CONJECTURE FOR QUOTIENT-SPACES OF L(P), Forum mathematicum, 6(5), 1994, pp. 617-635
Citations number
26
Categorie Soggetti
Mathematics,Mathematics,Mathematics
Journal title
Forum mathematicum → ACNP
ISSN journal
09337741
Volume
6
Issue
5
Year of publication
1994
Pages
617 - 635
Database
ISI
SICI code
0933-7741(1994)6:5<617:HCFQOL>2.0.ZU;2-4
Abstract
We give a positive solution for the hyperplane conjecture of quotient spaces F of L(p), where 1 < p less-than-or-equal-to infinity. [GRAPHIC S] This result is extended to Banach lattices which does not contain l 1n's uniformly. Our main tools are tensor products and minimal volume ratio with respect to L(p)-sections.