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Proceedings of the American Mathematical Society

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

 

 

On the serial completion of deleted Schauder bases by domain adjustment


Author: Ben-Ami Braun
Journal: Proc. Amer. Math. Soc. 44 (1974), 427-431
MSC: Primary 46E30
DOI: https://doi.org/10.1090/S0002-9939-1974-0355565-X
MathSciNet review: 0355565
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Abstract: Given a Schauder basis in a Banach function space of a specified type, one can delete any finite number of elements of the basis and still preserve serial totality by making an arbitrarily small adjustment of the domain.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0355565-X
Keywords: Schauder basis, completion, series representation
Article copyright: © Copyright 1974 American Mathematical Society