A note on closedness of convex hull of sets

被引：0

作者：

Przybycien, Hubert ^{[1
]}

机构：

[1] Jan Kochanowski Univ, Dept Math, Uniwersytecka 7, PL-25406 Kielce, Poland

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2024年 / 43卷 / 1-2期

关键词：

unbounded sets; Minkowski addition; closed sets;

D O I：

10.4171/ZAA/1753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The closedness of certain sets plays an important role in mathematics, especially in convex and functional analysis. In this short note, we give some connections between closedness of Minkowski sum of sets, closedness of the convex hull of sets, and other properties of the topological vector space.

引用

页码：143 / 147

页数：5

共 50 条

[11] Stability of Closedness of Closed Convex Sets under Linear Mappings
Si Tiep Dinh
Tien-Son Pham
JOURNAL OF CONVEX ANALYSIS, 2021, 28 (04) : 1281 - 1291
[12] A NOTE ON CONVEX-HULL ALGORITHMS
GHOSH, SK
PATTERN RECOGNITION, 1986, 19 (01) : 75 - 75
[13] Some results on the convex hull of finitely many convex sets
Borbely, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (05) : 1515 - 1525
[14] On closedness of law-invariant convex sets in rearrangement invariant spaces
Made Tantrawan
Denny H. Leung
Archiv der Mathematik, 2020, 114 : 175 - 183
[15] Computing the Integer Hull of Convex Polyhedral Sets
Maza, Marc Moreno
Wang, Linxiao
COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING (CASC 2022), 2022, 13366 : 246 - 267
[16] On closedness of law-invariant convex sets in rearrangement invariant spaces
Tantrawan, Made
Leung, Denny H.
ARCHIV DER MATHEMATIK, 2020, 114 (02) : 175 - 183
[17] NOTE ON SEPARATION OF CONVEX SETS
ZIZLER, V
CZECHOSLOVAK MATHEMATICAL JOURNAL, 1971, 21 (02) : 340 - &
[18] A Note on Faces of Convex Sets
Weis, Stephan
JOURNAL OF CONVEX ANALYSIS, 2025, 32 (03) : 901 - 919
[19] A NOTE ON GRAHAM CONVEX-HULL ALGORITHM
GRIES, D
STOJMENOVIC, I
INFORMATION PROCESSING LETTERS, 1987, 25 (05) : 323 - 327
[20] Closedness of convex sets in Orlicz spaces with applications to dual representation of risk measures
Gao, Niushan
Leung, Denny H.
Xanthos, Foivos
STUDIA MATHEMATICA, 2019, 249 (03) : 329 - 347

← 1 2 3 4 5 →