A New Inequality for Frames in Hilbert Spaces

被引：1
|
作者：
Xiang, Zhong-Qi [1 ]
机构：
[1] Shangrao Normal Univ, Coll Math & Comp Sci, Shangrao 334001, Jiangxi, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1155/2018/2108580
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain a new inequality for frames in Hilbert spaces associated with a scalar and a bounded linear operator induced by two Bessel sequences. It turns out that the corresponding results due to Balan et al. and Gavruta can be deduced from our result.
引用
收藏
页数：6
相关论文
共 50 条
  • [11] CONTINUOUS FRAMES IN HILBERT SPACES
    Rahimi, A.
    Najati, A.
    Dehghan, Y. N.
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2006, 12 (02): : 170 - 182
  • [12] Frames in Quaternionic Hilbert Spaces
    Sharma, Sumit Kumar
    Goel, Shashank
    JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2019, 15 (03) : 395 - 411
  • [13] On Some New Inequalities For Continuous Fusion Frames in Hilbert Spaces
    Dongwei Li
    Jinsong Leng
    Mediterranean Journal of Mathematics, 2018, 15
  • [14] On Some New Inequalities For Continuous Fusion Frames in Hilbert Spaces
    Li, Dongwei
    Leng, Jinsong
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (04)
  • [15] Hilbert-Schmidt Frames for Operators on Hilbert Spaces
    Takhteh, Farkhondeh
    Azandaryani, Morteza Mirzaee
    IRANIAN JOURNAL OF SCIENCE, 2023, 47 (5-6) : 1679 - 1687
  • [16] MULTIPLIERS OF GENERALIZED FRAMES IN HILBERT SPACES
    Rahimi, A.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2011, 37 (01) : 63 - 80
  • [17] ON GENERALIZED WEAVING FRAMES IN HILBERT SPACES
    Vashisht, Lalit K.
    Garg, Saakshi
    Deepshikha
    Das, P. K.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (02) : 661 - 685
  • [18] Relay fusion frames for Hilbert spaces
    Guoqing Hong
    Pengtong Li
    Journal of Inequalities and Applications, 2019
  • [19] Soft Frames in Soft Hilbert Spaces
    Ferrer, Osmin
    Sierra, Arley
    Sanabria, Jose
    MATHEMATICS, 2021, 9 (18)
  • [20] On the Sum of Generalized Frames in Hilbert Spaces
    Abtahi, F.
    Kamali, Z.
    Keyshams, Z.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (05)
12345