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
收藏
页码：1 / 17
页数：18
相关论文
共 50 条
  • [41] The stability of Banach frames in Banach spaces
    Yu Can Zhu
    Si Yuan Wang
    Acta Mathematica Sinica, English Series, 2010, 26 : 2369 - 2376
  • [42] Weak amenability of certain classes of Banach algebras without bounded approximate identities
    Ghahramani, F
    Lau, ATM
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2002, 133 : 357 - 371
  • [43] NOTE ON RENORMING OF BANACH-SPACES DECOMPOSABLE INTO CERTAIN OPERATOR RANGES
    JOHN, K
    ZIZLER, V
    ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1976, 28 (3-4): : 247 - 251
  • [44] On stability of Banach frames
    Jain, Pawan Kumar
    Kaushik, Shiv Kumar
    Vashisht, Lalit Kumar
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (01) : 73 - 81
  • [45] On Frames in Banach Spaces
    Vashisht, L. K.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2012, 3 (03): : 313 - 332
  • [46] On Weighted Banach Frames
    Vashisht, L. K.
    Sharma, Shalu
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2012, 3 (03): : 283 - 292
  • [47] ON THE DUALITY OF BANACH FRAMES
    Karimizad, Seyedeh Sara
    Asgari, Mohammad Sadegh
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2015, 77 (03): : 167 - 182
  • [48] Frames in Banach spaces
    Terekhin, P. A.
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2010, 44 (03) : 199 - 208
  • [49] Frames in Banach spaces
    P. A. Terekhin
    Functional Analysis and Its Applications, 2010, 44 : 199 - 208
  • [50] On perturbation of Banach frames
    Jain, P. K.
    Kaushik, S. K.
    Vashisht, L. K.
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2006, 4 (03) : 559 - 565
12345