Approximation and existence of Schauder bases in Muntz spaces of L1 functions

被引：2
|
作者：
Ludkowski, Sergey V. [1 ,2 ]
机构：
[1] Univ Paderborn, Dept Math, Warburger Str 100, D-33095 Paderborn, Germany
[2] Moscow State Tech Univ MIREA, Dept Appl Math, Ave Vernadsky 78, Moscow 119454, Russia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 441卷 / 02期
关键词：
Banach space; Muntz space; Isomorphism; Schauder basis; Fourier series; BANACH-SPACES;
D O I：
10.1016/j.jmaa.2016.03.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An approximation of functions in Muntz spaces M-Lambda,M-L1 of L-1 functions is studied with the help of Fourier series. Muntz spaces are considered with the Muntz condition and the gap condition imposed. It is proved that up to an isomorphism such spaces are contained in Weil-Nagy's class. Moreover, existence of Schauder bases in Muntz spaces M-Lambda,M-L1 is investigated. (c) 2016 Elsevier Inc. All rights reserved.
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页码：635 / 647
页数：13
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