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Core of a Sequence and the Matrix Class $$(\ell , \ell )$$

In: Classical Summability Theory

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  • P. N. Natarajan

    (Ramakrishna Mission Vivekananda College, Formerly of the Department of Mathematics)

Abstract

In this chapter, weCore of a sequence define the core of a sequence and prove an improvement of Sherbakhoff’sSherbakhoff result, which gives rise to a short and elegant proof of Knopp’s core theoremKnopp’s core theorem . We also present some nice properties of the class $$(\ell , \ell )$$ of infinite matrices.

Suggested Citation

  • P. N. Natarajan, 2017. "Core of a Sequence and the Matrix Class $$(\ell , \ell )$$," Springer Books, in: Classical Summability Theory, chapter 0, pages 27-36, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-4205-8_2
    DOI: 10.1007/978-981-10-4205-8_2
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