Stability of dual $g$-fusion frames in Hilbert spaces

IF 0.2 Q4 MATHEMATICS

Methods of Functional Analysis and Topology Pub Date : 2020-09-28 DOI:10.31392/MFAT-npu26_3.2020.04

Prasenjit Ghosh, T. Samanta

引用次数: 14

Abstract

We give a characterization of K-g-fusion frames and discuss the stability of dual g-fusion frames. We also present a necessary and su cient condition for a quotient operator to be bounded. ¤ õâìáï å à aâ¥à÷§ æ÷ï K-g äà¥©¬÷¢ §« ̈ââï â à®§£«ï¤ õâìáï áâ÷©a ̈áâì ¤¢®ùáâ ̈å g-ä ̄¥©¬÷¢ §« ̈ââï. a®¦ ¤ îâìáï ¥®¡å÷¤÷ â ¤®áâ â÷ ã¬®¢ ̈ ®¡¬¥¦¥®áâ÷ ® ̄¥à â®à ä aâ®à ̈§ æ÷ù.

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Hilbert空间中对偶$g$-融合框架的稳定性

我们对K-G融合帧进行了表征，并讨论了双G融合帧的稳定性。我们还为商数运算符提出了一个必要和明智的条件。从õâìáiå到a¥到÷§æ÷k-gäà©§«ââiâ®§«õâìá©在®ùá̈åg-ǟ¥©“啊。A®¦¤îìái¥®“å÷÷”®在÷ã®美分̈®¥®A÷® ̄¥至®在®在§÷æù。

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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来源期刊

Methods of Functional Analysis and Topology MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

25 weeks

期刊介绍： Methods of Functional Analysis and Topology (MFAT), founded in 1995, is a peer-reviewed arXiv overlay journal publishing original articles and surveys on general methods and techniques of functional analysis and topology with a special emphasis on applications to modern mathematical physics.