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https://hdl.handle.net/2440/95520
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Type: | Journal article |
Title: | On cosine families close to scalar cosine families |
Author: | Chojnacki, W. |
Citation: | Journal of the Australian Mathematical Society, 2015; 99(2):166-174 |
Publisher: | Cambridge University Press |
Issue Date: | 2015 |
ISSN: | 1446-7887 1446-8107 |
Statement of Responsibility: | Wojciech Chojnacki |
Abstract: | We prove that if two normed-algebra-valued cosine families indexed by a single Abelian group, of which one is bounded and comprised solely of scalar elements of the underlying algebra, differ in norm by less than 1 uniformly in the parametrising index, then these families coincide. |
Keywords: | cosine family; cosine sequence; normed algebra; scalar element |
Description: | Published online: 26 February 2015 |
Rights: | © 2015 Australian Mathematical Publishing Association Inc. |
DOI: | 10.1017/S1446788715000038 |
Published version: | http://dx.doi.org/10.1017/s1446788715000038 |
Appears in Collections: | Aurora harvest 3 Computer Science publications |
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