On the K-divisibility constant for some special finite-dimensional Banach couples
2009 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 360, no 1, 130-155 p.Article in journal (Refereed) Published
We prove new estimates of the K-divisibility constants for some special Banach couples. In particular, we prove that the K-divisibility constant for a couple of the form (U circle plus V, U) where U and V are non-trivial Hilbert spaces equals 2/root 3. We also prove estimates for the K-divisibility constant of the two-dimensional version of the couple (L-2, L-infinity), proving in particular that this couple is not exactly K-divisible. There are also several auxiliary results, including some estimates for relative Calderon constants for finite-dimensional couples.
Place, publisher, year, edition, pages
2009. Vol. 360, no 1, 130-155 p.
Banach couple, K-divisibility constant, Calderon constant
IdentifiersURN: urn:nbn:se:kth:diva-32286DOI: 10.1016/j.jmaa.2009.06.019ISI: 000269020900012ScopusID: 2-s2.0-68049137619OAI: oai:DiVA.org:kth-32286DiVA: diva2:409958
QC 201104122011-04-122011-04-112011-04-12Bibliographically approved