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Journal Article

Existence of Universal Members in Certain Families of Bases of Banach Spaces

M. Zippin
Proceedings of the American Mathematical Society
Vol. 26, No. 2 (Oct., 1970), pp. 294-300
DOI: 10.2307/2036392
Stable URL: http://www.jstor.org/stable/2036392
Page Count: 7

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Topics: Banach space, Scalars, Separable spaces, Series convergence, Universality, Unit vectors
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Existence of Universal Members in Certain Families of Bases of Banach Spaces
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Abstract

In a recent paper A. Pełczyński proved the existence of universal Schauder bases for several important families of bases. In the present paper some new existence problems are settled. For example, it is proved that the family of boundedly complete bases does not have a universal member.

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