Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
On the K-divisibility constant for some special finite-dimensional Banach couples
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
Technion Israel Inst Technol, Dept Math.
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
Abstract [en]

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.
Keyword [en]
Banach couple, K-divisibility constant, Calderon constant
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-32286DOI: 10.1016/j.jmaa.2009.06.019ISI: 000269020900012Scopus ID: 2-s2.0-68049137619OAI: oai:DiVA.org:kth-32286DiVA: diva2:409958
Note
QC 20110412Available from: 2011-04-12 Created: 2011-04-11 Last updated: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Ameur, Yacin
By organisation
Mathematics (Dept.)
In the same journal
Journal of Mathematical Analysis and Applications
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 43 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf