Discrete taut strings and real interpolation
2016 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 270, no 2, 671-704 p.Article in journal (Refereed) PublishedText
Classical taut strings and their multidimensional generalizations appear in a broad range of applications. In this paper we suggest a general approach based on the K-functional of real interpolation that provides a unifying framework of existing theories and extend the range of applications of taut strings. More exactly, we introduce the notion of invariant K-minimal sets, explain their connection to taut strings and characterize all bounded, closed and convex sets in R-n that are invariant K-minimal with respect to the couple (l(1), l(infinity)). (C) 2015 Elsevier Inc. All rights reserved.
Place, publisher, year, edition, pages
ACADEMIC PRESS INC ELSEVIER SCIENCE , 2016. Vol. 270, no 2, 671-704 p.
Taut strings; Real interpolation; Invariant K-minimal sets
IdentifiersURN: urn:nbn:se:liu:diva-124087DOI: 10.1016/j.jfa.2015.10.012ISI: 000366144300007OAI: oai:DiVA.org:liu-124087DiVA: diva2:897224