Orthogonal Elements in Nonseparable Rearrangement Invariant Spaces

被引：0
|
作者：
Astashkin, S., V [1 ]
Semenov, E. M. [2 ]
机构：
[1] Samara Natl Res Univ, Samara 443086, Russia
[2] Voronezh State Univ, Voronezh 394006, Russia
来源：
DOKLADY MATHEMATICS | 2020年 / 102卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
nonseparable Banach space; rearrangement invariant space; Orlicz space; Marcinkiewicz space; orthogonal elements;
D O I：
10.1134/S1064562420060058
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let E be a nonseparable rearrangement invariant space, and let E-0 denote the closure of the set of all bounded functions in E. We study elements of E orthogonal to the subspace E-0, i.e., elements x is an element of E such that parallel to x parallel to(E) <= parallel to x + y parallel to(E) for any y is an element of E-0.
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页码：449 / 450
页数：2
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