OPERATOR BANACH FRAMES IN BANACH SPACES

被引：0
|
作者：
Shekhar, Chander [1 ]
机构：
[1] Univ Delhi, Indraprastha Coll Women, Dept Math, Delhi 110007, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS | 2015年 / 6卷 / 03期
关键词：
Frames; Banach frames; atomic decomposition;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Operator Banach frame (OBF) for Banach spaces have been defined as a generalization of the notion of Banach frame. Some results related to the construction of new OBFs have been given. Also, a sufficient condition for the finite sum of OBFs to be an OBF has been given. Finally, we discuss stability of OBFs and prove a result in this direction.
引用
收藏
页码：17 / 26
页数：10
相关论文
共 50 条
  • [41] AN OPERATOR SUMMABILITY OF SEQUENCESIN BANACH SPACES
    Karn, Anil Kumar
    Sinha, Deba Prasad
    GLASGOW MATHEMATICAL JOURNAL, 2014, 56 (02) : 427 - 437
  • [42] SINGULAR OPERATOR IN SCALE OF BANACH SPACES
    OVSYANNI.LV
    DOKLADY AKADEMII NAUK SSSR, 1965, 163 (04): : 819 - &
  • [43] On Ergodic Operator Means in Banach Spaces
    Alexandru Aleman
    Laurian Suciu
    Integral Equations and Operator Theory, 2016, 85 : 259 - 287
  • [44] Incomparable Banach spaces and operator semigroups
    Aiena, P
    González, M
    Martínez-Abejón, A
    ARCHIV DER MATHEMATIK, 2002, 79 (05) : 372 - 378
  • [45] Operator Space Structures on Banach Spaces
    Kumar, Vinod P.
    Balasubramani, M. S.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2016, 40 (04) : 593 - 602
  • [46] REFLEXIVE OPERATOR ALGEBRAS ON BANACH SPACES
    Merlevede, Florence
    Peligrad, Costel
    Peligrad, Magda
    PACIFIC JOURNAL OF MATHEMATICS, 2014, 267 (02) : 451 - 464
  • [47] On Ergodic Operator Means in Banach Spaces
    Aleman, Alexandru
    Suciu, Laurian
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2016, 85 (02) : 259 - 287
  • [48] Weighted Coorbit Spaces and Banach Frames on Homogeneous Spaces
    Stephan Dahlke
    Gabriele Steidl
    Gerd Teschke
    Journal of Fourier Analysis and Applications, 2004, 10 : 507 - 539
  • [49] Operator Lipschitz functions on Banach spaces
    Rozendaal, Jan
    Sukochev, Fedor
    Tomskova, Anna
    STUDIA MATHEMATICA, 2016, 232 (01) : 57 - 92
  • [50] Incomparable Banach spaces and operator semigroups
    P. Aiena
    M. González
    A. Martínez-Abejón
    Archiv der Mathematik, 2002, 79 : 372 - 378
12345