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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A special basis for $ C([0,\,1])$


Author: H. E. Warren
Journal: Proc. Amer. Math. Soc. 27 (1971), 495-499
MSC: Primary 46.25
DOI: https://doi.org/10.1090/S0002-9939-1971-0270130-8
MathSciNet review: 0270130
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Abstract: This paper constructs a basis for $ C([0,1])$ which converges weakly to zero whose elements are nevertheless norm bounded away from zero.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0270130-8
Keywords: Basis, Schauder basis, weakly closed basis, $ C([0,1])$
Article copyright: © Copyright 1971 American Mathematical Society