A Note on the Symmetry of Sequence Spaces

被引：3

作者：

Carando, D. ^{[1
,2
,3
]}

Mazzitelli, M. ^{[4
,5
]}

Sevilla-Peris, P. ^{[6
]}

机构：

[1] Univ Buenos Aires, Dept Matemat, C1428EGA, Buenos Aires, DF, Argentina

[2] Univ Buenos Aires, IMAS, C1428EGA, Buenos Aires, DF, Argentina

[3] Consejo Nacl Invest Cient & Tecn, C1428EGA, Buenos Aires, DF, Argentina

[4] Univ Nacl Cuyo, CNEA, Inst Balseiro, R8402AGP, San Carlos De Bariloche, Rio Negro, Argentina

[5] Consejo Nacl Invest Cient & Tecn, R8402AGP, San Carlos De Bariloche, Rio Negro, Argentina

[6] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, E-46022 Valencia, Spain

来源：

MATHEMATICAL NOTES | 2021年 / 110卷 / 1-2期

关键词：

symmetric sequence space; Marcinkiewicz sequence space; symmetric linear functional; decreasing rearrangement; FUNCTIONALS;

D O I：

10.1134/S0001434621070038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a self-contained treatment of symmetric Banach sequence spaces and some of their natural properties. We are particularly interested in the symmetry of the norm and the existence of symmetric linear functionals. Many of the presented results are known or commonly accepted, but are not found in the literature.

引用

页码：26 / 40

页数：15

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