Published January 1, 2011 | Version v1
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NECESSARY CONDITIONS FOR ABSOLUTE DOUBLE MATRIX SUMMABILITY FACTORS

  • 1. Istanbul Ticaret Univ, Dept Math, Istanbul, Turkey
  • 2. Indiana Univ, Dept Math, Bloomington, IN 47405 USA

Description

We obtain necessary conditions for a doubly triangular matrix A to have the property that a double series Sigma Sigma lambda(mn)b(mn) mnbmn is summable vertical bar A vertical bar(k) whenever the series Sigma Sigma b(mn) is bounded vertical bar A vertical bar(k).

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