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A
commutative Banach algebra of functions of generalized
variation
A. M. Russell |
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Vol. 84 (1979), No. 2, 455–463
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Abstract |
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It is known that the space of functions, anchored at a, and having bounded variation form a commutative Banach algebra under the total variation norm. We show that functions of bounded k-th variation also form a Banach algebra under a norm defined in terms of the total k-th variation. |
Mathematical Subject Classification 2000
Primary: 46J10
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Milestones
Received: 1 June 1978
Published: 1 October 1979
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Authors |
| A. M. Russell | |
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