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  3. On The Spectrum of Norlund Type Matrix Operator 𝐴 = (π‘Žπ‘›π‘˜) on The Sequence Spaces β„“1 and 𝑏𝑣
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  • Date of Publication : 2023-06-22 Article Type : Research Article
  • On The Spectrum of Norlund Type Matrix Operator 𝐴 = (π‘Žπ‘›π‘˜) on The Sequence Spaces β„“1 and 𝑏𝑣

    Orhan Tug ¹*

    Affiliation

    ¹ Department of Mathematics Education, Faculty of Education, Tishk International University, Erbil-Iraq
    * Corresponding Author


    ORCID :

    Orhan Tug: https://orcid.org/0000-0003-0338-3900


    DOI :

    https://doi.org/10.23918/eajse.v9i2p15


    Article History

    Received: 2023-03-25

    Revised: 2023-06-05

    Accepted: 2023-06-10

    Abstract

     In this article, we defined a Nörlund type matrix 𝐴 = (π‘Žπ‘›π‘˜) by

                     

    Then we showed that the Nörlund type matrix 𝐴 = (π‘Žπ‘›π‘˜) is a linear and bounded operator on the sequence spaces β„“1 and 𝑏𝑣. Finally, we calculated the fine spectrum and its subdivisions of the operator 𝐴 = (π‘Žπ‘›π‘˜) on the sequence spaces β„“1 and 𝑏𝑣. 

    Keywords :

    Sequence Space; Bounded Variation; Nörlund Type Matrix; Bounded Operators; Spectrum of an Operator


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    @article{tug,orhan2023,
     author = {Tug, Orhan},
     title = {On The Spectrum of Norlund Type Matrix Operator 𝐴 = (π‘Žπ‘›π‘˜) on The Sequence Spaces β„“1 and 𝑏𝑣},
     journal = {Eurasian J.Β Sci.Β Eng},
     volume = {9},
     number = {2},
     pages = {195-207},
     year = {2023}
    }
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    Tug, O. (2023). On The Spectrum of Norlund Type Matrix Operator 𝐴 = (π‘Žπ‘›π‘˜) on The Sequence Spaces β„“1 and 𝑏𝑣. Eurasian J.Β Sci.Β Eng, 9(2),195-207.

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    Tug, O. "On The Spectrum of Norlund Type Matrix Operator 𝐴 = (π‘Žπ‘›π‘˜) on The Sequence Spaces β„“1 and 𝑏𝑣." Eurasian J.Β Sci.Β Eng, 9.2, (2023), pp.195-207.

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    Tug, O., (2023) "On The Spectrum of Norlund Type Matrix Operator 𝐴 = (π‘Žπ‘›π‘˜) on The Sequence Spaces β„“1 and 𝑏𝑣", Eurasian J.Β Sci.Β Eng, 9(2), pp.195-207.

    Copy

    Tug O. On The Spectrum of Norlund Type Matrix Operator 𝐴 = (π‘Žπ‘›π‘˜) on The Sequence Spaces β„“1 and 𝑏𝑣. Eurasian J.Β Sci.Β Eng. 2023; 9(2):195-207.

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