Bidual extensions of Riesz multimorphisms

被引：2

作者：

Botelho, Geraldo ^{[1
]}

Garcia, Luis Alberto ^{[2
]}

机构：

[1] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, Brazil

[2] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 520卷 / 01期

关键词：

Riesz spaces; Riesz multimorphism; Arens extension; Aron -Berner extension; Banach lattices; THEOREM;

D O I：

10.1016/j.jmaa.2022.126869

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that all Arens extensions of finite rank Riesz multimorphisms taking values in Archimedean Riesz spaces coincide and are Riesz multimorphisms. We also prove that, for a class of Banach lattices F, which includes F = c0, tp, c0(ep), p(c0) pound, p(es) pound, 1 < p, s < infinity, among many others, all Aron-Berner extensions of any Fvalued Riesz multimorphism between Banach lattices are Riesz multimorphisms. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：18

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