bibtype	J - Journal Article
ARLID	0411110
utime	20240903202640.9
mtime	20060210235959.9
title (primary) (eng)	A note on equality of functional envelopes
specification	page_count 10 s.
serial	ARLID cav_un_epca*0290649 ISSN 0862-7959 title Mathematica Bohemica volume_id 128 volume 2 (2003) page_num 169-178 publisher name Matematický ústav AV ČR, v. v. i.
keyword	extreme points
keyword	polyconvexity
keyword	quasiconvexity
author (primary)	ARLID cav_un_auth*0101142 name1 Kružík name2 Martin institution UTIA-B full_dept Department of Decision Making Theory fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
COSATI	12A
cas_special	project project_id IAA1075005 agency GA AV ČR ARLID cav_un_auth*0012782 research CEZ:AV0Z1075907 abstract (eng) We characterize generalized extreme points of compact convex sets. In particular, we show that if the polyconvex hull is convex in $R^{mtimes n}$, $min(m,n)le 2$, then it is constructed from polyconvex extreme points via sequential lamination. Further, we give theorems ensuring equality of the quasiconvex (polyconvex) and the rank-1 convex envelopes of a lower semicontinuous function without explicit convexity assumptions on the quasiconvex (polyconvex) envelope. RIV BA department MTR permalink http://hdl.handle.net/11104/0131197 ID_orig UTIA-B 20030097 arlyear 2003 mrcbU63 cav_un_epca*0290649 Mathematica Bohemica 0862-7959 2464-7136 Roč. 128 č. 2 2003 169 178 Matematický ústav AV ČR, v. v. i.