Banach空间中加权G−Banach帧的摄动

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2020-05-15 DOI:10.18311/JIMS/2020/21297

G. S. Rathore, Tripti Mittal

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引用次数: 0

摘要

本文研究了Banach空间中加权g−Banach框架的摄动，得到了加权g−巴拿赫框架的扰动结果。同时，给出了正约束标量序列扰动加权g−Banach框架的充分条件和给定加权g−巴拿赫-贝塞尔序列的一致标度形式。最后，我们通过将有限个算子序列的和与Banach空间中的另一个加权g−Banach框架系统进行比较，给出了一个条件，在该条件下，有限个算子的序列的和是一个加权的g−Banch框架。

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 Perturbation of Weighted G−Banach Frames in Banach Spaces

In the present paper, we study perturbation of weighted g −Banach frames in Banach spaces and obtain perturbation results for weighted g −Banach frames. Also, sufficient conditions for the perturbation of weighted g −Banach frames by positively confined sequence of scalars and uniformly scaled version of a given weighted g −Banach Bessel sequence have been given. Finally, we give a condition under which the sum of finite number of sequences of operators is a weighted g −Banach frame by comparing each of the sequences with another system of weighted g −Banach frames in Banach spaces.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.