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Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On Antosik's Lemma and the Antosik-Mikusinski Basic Matrix Theorem


Authors: Qu Wenbo and Wu Junde
Journal: Proc. Amer. Math. Soc. 130 (2002), 3283-3285
MSC (2000): Primary 40C05
Published electronically: May 29, 2002
MathSciNet review: 1913007
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Abstract: That Antosik's Lemma is not a special case of the Antosik-Mikusinski Basic Matrix Theorem will be shown and, an equivalent form of the Antosik-Mikusinski Basic Matrix Theorem will also be presented in this paper.


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Additional Information

Qu Wenbo
Affiliation: Department of Mathematics, Harbin Institute of Technology, Harbin 150006, People’s Republic of China

Wu Junde
Affiliation: Department of Mathematics, Zhejiang University, Hangzhou 310027, People’s Republic of China
Email: WJD@math.zju.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06475-4
PII: S 0002-9939(02)06475-4
Keywords: Antosik lemma, basic matrix theorem, uniform convergence principle
Received by editor(s): June 20, 2000
Received by editor(s) in revised form: June 11, 2001
Published electronically: May 29, 2002
Additional Notes: This work was supported by the NSF of China
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2002 American Mathematical Society



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