A Note on Certain Classes of Retro Banach Frames

被引：0

作者：

Goswami, Mayur Puri ^{[1
]}

机构：

[1] Kalyan PG Coll, Dept Math, Bhilai 490006, India

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2023年 / 20卷 / 01期

关键词：

Banach frame; Retro Banach frame; Near-exact retro Banach frame; Retro bi-Banach frame; ATOMIC DECOMPOSITIONS; SYSTEMS;

D O I：

10.22130/scma.2022.554957.1122

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new class of retro Banach frames called retro bi-Banach frame has been introduced and studied with illustrative examples. Relationships of a retro bi-Banach frame with various existing classes of Banach frame are presented. In the sequel, we deal with characterizations of the near-exact retro Banach frame and discuss the invariance of near-exact retro Banach frames under block perturbation. Finally, applications regarding the rank of a matrix and eigenvalue problems have been demonstrated.

引用

页码：1 / 17

页数：18

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