Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589934 | Journal of Functional Analysis | 2016 | 34 Pages |
Abstract
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 Rn that are invariant K-minimal with respect to the couple (â1,ââ).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Natan Kruglyak, Eric Setterqvist,