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Infinite Matrices Bounded on Weighted \(c_0\) Space

  • Riddhick Birbonshi
  • Arnab PatraEmail author
  • P. D. Srivastava
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 655)

Abstract

In this paper some necessary and sufficient conditions for boundedness of an infinite matrix as a linear operator between two weighted \(c_0\) spaces are established. Some relationship between the matrix and the weight vectors of domain and range spaces are also obtained.

Keywords

Infinite matrix Weighted sequence space Matrix norm \(c_0\) space 

References

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  • Riddhick Birbonshi
    • 1
  • Arnab Patra
    • 1
    Email author
  • P. D. Srivastava
    • 1
  1. 1.Department of Mathematics, Indian Institute of Technology KharagpurKharagpurIndia

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