A Convergence Property for Infinite Arrays: 10826

Félix Martı́nez-Giménez, John H. Lindsey · American Mathematical Monthly · 2001

10826 [2000, 752]. Proposed by Felix Martinez-Gime'nez, Universidad Polite6cnica de Valencia, Valencia, Spain. Given an infinite matrix A = (ai,j)i,jENs of real numbers satisfying 0 0, prove that A satisfies condition (*) if and only if AM0) satisfies condition (*), where A(0) is the matrix whose i,j entry is ao1.

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