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  • If the quasiconvex hull of a compact set in $R^{mtimes n}$ is convex then also its rank-1 convex hull is convex. In this note we show that a reason for that is in a special structure of quasiconvex extreme points of compact convex sets. In particular, we show that compact convex sets are lamination convex hulls of their quasiconvex extreme points. We also give a clear geometric characterization of quasiconvex extreme points of compact convex sets.
  • If the quasiconvex hull of a compact set in $R^{mtimes n}$ is convex then also its rank-1 convex hull is convex. In this note we show that a reason for that is in a special structure of quasiconvex extreme points of compact convex sets. In particular, we show that compact convex sets are lamination convex hulls of their quasiconvex extreme points. We also give a clear geometric characterization of quasiconvex extreme points of compact convex sets. (en)
Title
  • Quasiconvex extreme points of convex sets.
  • Quasiconvex extreme points of convex sets. (en)
skos:prefLabel
  • Quasiconvex extreme points of convex sets.
  • Quasiconvex extreme points of convex sets. (en)
skos:notation
  • RIV/67985556:_____/02:16020127!RIV/2003/AV0/A16003/N
http://linked.open.../vavai/riv/strany
  • 145;151
http://linked.open...avai/riv/aktivita
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  • P(IAA1075005), Z(AV0Z1075907)
http://linked.open...vai/riv/dodaniDat
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  • 661339
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  • RIV/67985556:_____/02:16020127
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  • extreme points; quasiconvexity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [437C4F328B19]
http://linked.open...v/mistoKonaniAkce
  • Rolduc [NL]
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  • Singapore
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  • European Conference on Elliptic and Parabolic Problems.
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  • Kružík, Martin
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http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • World Scientific
https://schema.org/isbn
  • 961-238-045-0
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