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Matrix transformations
and absolute summability
Thomas Alan Keagy |
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Vol. 63 (1976), No. 2, 411–415
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Abstract |
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The main results of this paper are two theorems which give necessary conditions for a matrix to map into l the set of all subsequences (rearrangements) of a null sequence not in l. These results provide affirmative answers to the following questions proposed by J. A. Fridy. Is a null sequence x necessarily in l if there exists a sum-preserving l–l matrix A that maps all subsequences (rearrangements) of x into l? |
Mathematical Subject Classification 2000
Primary: 40C05
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Milestones
Received: 23 October 1975
Published: 1 April 1976
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Authors |
| Thomas Alan Keagy | |
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