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Infinite Matrices Bounded on Weighted \(c_0\) Space

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Mathematics and Computing (ICMC 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 655))

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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.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, 721 302, West Bengal, India

    Riddhick Birbonshi, Arnab Patra & P. D. Srivastava

Authors
  1. Riddhick Birbonshi
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  2. Arnab Patra
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  3. P. D. Srivastava
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Corresponding author

Correspondence to Arnab Patra .

Editor information

Editors and Affiliations

  1. Haldia Institute of Technology, Haldia, India

    Debasis Giri

  2. University of Central Florida, Orlando, Florida, USA

    Ram N. Mohapatra

  3. Freie Universität Berlin, Berlin, Germany

    Heinrich Begehr

  4. Fordham University, Bronx, New York, USA

    Mohammad S. Obaidat

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© 2017 Springer Nature Singapore Pte Ltd.

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Birbonshi, R., Patra, A., Srivastava, P.D. (2017). Infinite Matrices Bounded on Weighted \(c_0\) Space. In: Giri, D., Mohapatra, R., Begehr, H., Obaidat, M. (eds) Mathematics and Computing. ICMC 2017. Communications in Computer and Information Science, vol 655. Springer, Singapore. https://doi.org/10.1007/978-981-10-4642-1_28

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  • DOI: https://doi.org/10.1007/978-981-10-4642-1_28

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-4641-4

  • Online ISBN: 978-981-10-4642-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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