Some new results on L-weakly compact sets and applications

被引：0

作者：

Khabaoui, Hassan ^{[1
]}

El Fahri, Kamal ^{[2
]}

H'michane, Jawad ^{[3
]}

机构：

[1] Moulay Ismail Univ, Fac Sci, Math Dept, BP 1120, Meknes, Morocco

[2] Ibn Zohr Univ, Fac Sci, Math Dept, Equipe Anal Fonct,Lab Math & Applicat, Agadir, Morocco

[3] Ibn Tofail Univ, Engn Sci Lab, ENSA, BP 241, Kenitra, Morocco

来源：

POSITIVITY | 2023年 / 27卷 / 02期

关键词：

L-weakly compact set; Limited set; (L) sets; L-weakly completely continuous operators;

D O I：

10.1007/s11117-023-00981-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper is devoted to study the relationship between limited (resp. (L)) sets and L-weakly compact sets, it rests essentially on two parts. In the first one, we introduce and study the operators which send L-weakly compact sets to limited sets and conversely limited sets to L-weakly compact sets. As consequences, we will give some interesting results. In the second part, we look at the dual counterpart on which we give our results about the relationship between (L) sets and L-weakly compact sets.

引用

页数：13

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