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.

引用

页码：449 / 450

页数：2