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
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
  • [21] On the Sum of Generalized Frames in Hilbert Spaces
    F. Abtahi
    Z. Kamali
    Z. Keyshams
    Mediterranean Journal of Mathematics, 2021, 18
  • [22] Generalized frames for operators in Hilbert spaces
    Asgari, Mohammad Sadegh
    Rahimi, Hamidreza
    INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 2014, 17 (02)
  • [23] Oblique dual frames in Hilbert spaces
    Javanshiri, Hossein
    Fattahi, Abdolmajid
    Sargazi, Mojtaba
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (06)
  • [24] A Note on Frames in Quaternionic Hilbert Spaces
    Sharma, Sumit Kumar
    Sharma, Raksha
    SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2025, 22 (01):
  • [25] On Weaving Fusion Frames for Hilbert Spaces
    Deepshikha
    Garg, Saakshi
    Vashisht, Lalit K.
    Verma, Geetika
    2017 INTERNATIONAL CONFERENCE ON SAMPLING THEORY AND APPLICATIONS (SAMPTA), 2017, : 381 - 385
  • [26] Piecewise scalable frames in Hilbert spaces
    Khosravi, Amir
    Farmani, Mohammad Reza
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2024, 22 (03)
  • [27] Woven Frames and Their Multiplier in Hilbert Spaces
    Rahimi, A.
    Basati, S.
    Daraby, B.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2022, 12 (02): : 109 - 130
  • [28] Woven Frames in Quaternionic Hilbert Spaces
    Sharma, S. K.
    Sharma, Nitin
    Poumai, Khole Timothy
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [29] Relay fusion frames for Hilbert spaces
    Hong, Guoqing
    Li, Pengtong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (01)
  • [30] Uniform Excess Frames in Hilbert Spaces
    Xiangchun Xiao
    Guorong Zhou
    Yucan Zhu
    Results in Mathematics, 2018, 73