Abstract and Applied Analysis (Jan 2011)

The Cesáro Core of Double Sequences

  • Kuddusi Kayaduman,
  • Celal Çakan

DOI
https://doi.org/10.1155/2011/950364
Journal volume & issue
Vol. 2011

Abstract

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We have characterized a new type of core for double sequences, 𝑃𝐶-core, and determined the necessary and sufficient conditions on a four-dimensional matrix 𝐴 to yield 𝑃𝐶-core{𝐴𝑥}⊆𝛼(𝑃-core{𝑥}) for all ℓ∞2.