关于向量值序列的Banach空间的Bessel和Riesz-Fisher系统

Q4 Mathematics

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Pub Date : 2020-01-30 DOI:10.31926/but.mif.2019.61.12.2.10

M. Ismailov

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引用次数: 0

摘要

本文研究了Banach空间中有关向量值序列的Banach空间中的Bessel系统和Riesz-Fisher系统。引入了~ X -Bessel系统和~ X -Riesz-Fisher系统的概念，并建立了这类系统的表征。本文还研究了~ X -框架和~ X -Riesz g -碱基。得到了它们之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Bessel and Riesz-Fisher systems with respect to Banach space of vector-valued sequences

The paper deals with Bessel systems and Riesz-Fisher systems in Banach spaces with respect to some Banach space of vector-valued sequences. The notions of ˜ X -Bessel systems and ˜ X -Riesz-Fisher systems were introduced and the characterization of such systems were established. ˜ X -frames and ˜ X -Riesz g -bases are also studied in this paper. The relations between them are obtained.

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来源期刊

Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量