A generalization of frames in Banach spaces

被引：0
|
作者：
S. K. Kaushik
机构：
[1] University of Delhi,Kirori Mal College
来源：
Journal of Contemporary Mathematical Analysis | 2009年 / 44卷
关键词：
Frames; Fusion frames; Fusion Banach frames; 42C15; 42C40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Fusion Banach frames satisfying property S have been studied. A sufficient condition for the existence of a fusion Banach frame satisfying property S in weakly compactly generated Banach spaces has been given. Also, a necessary and sufficient condition for a fusion Banach frame to satisfy property S has been given. Finally, fusion Banach frames satisfying property S have been characterized in terms of closedness of certain subspaces of the dual spaces in the weak*-topology.
引用
收藏
页码：212 / 218
页数：6
相关论文
共 50 条
  • [1] A generalization of frames in Banach spaces
    Kaushik, S. K.
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2009, 44 (04): : 212 - 218
  • [2] On Frames in Banach Spaces
    Vashisht, L. K.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2012, 3 (03): : 313 - 332
  • [3] Frames in Banach spaces
    Terekhin, P. A.
    FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2010, 44 (03) : 199 - 208
  • [4] Frames in Banach spaces
    P. A. Terekhin
    Functional Analysis and Its Applications, 2010, 44 : 199 - 208
  • [5] The Stability of Banach Frames in Banach Spaces
    Yu Can ZHU Department of Mathematics
    ActaMathematicaSinica(EnglishSeries), 2010, 26 (12) : 2369 - 2376
  • [6] The stability of Banach frames in Banach spaces
    Zhu, Yu Can
    Wang, Si Yuan
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (12) : 2369 - 2376
  • [7] Banach frames for conjugate banach spaces
    Jain, PK
    Kaushik, SK
    Vashisht, LK
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2004, 23 (04): : 713 - 720
  • [8] OPERATOR BANACH FRAMES IN BANACH SPACES
    Shekhar, Chander
    JOURNAL OF MATHEMATICAL ANALYSIS, 2015, 6 (03): : 17 - 26
  • [9] The stability of Banach frames in Banach spaces
    Yu Can Zhu
    Si Yuan Wang
    Acta Mathematica Sinica, English Series, 2010, 26 : 2369 - 2376
  • [10] RETRO BANACH FRAMES, ALMOST EXACT RETRO BANACH FRAMES IN BANACH SPACES
    Poumai, Khole Timothy
    Kaushik, S. K.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 38 - 48
12345