Quasiconvex extreme points of convex sets.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F02%3A16020127" target="_blank" >RIV/67985556:_____/02:16020127 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Quasiconvex extreme points of convex sets.
Original language description
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, weshow 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA1075005" target="_blank" >IAA1075005: Variational problems in nonsmooth mathematical physics: theory, numerical methods and applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
European Conference on Elliptic and Parabolic Problems.
ISBN
961-238-045-0
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
145-151
Publisher name
World Scientific
Place of publication
Singapore
Event location
Rolduc [NL]
Event date
Jun 18, 2001
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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