A remark on bases and reflexivity in Banach spaces

M. Zippin

doi:10.1007/BF02771607

A remark on bases and reflexivity in Banach spaces

M. Zippin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

Let X be a Banach space with a basis. It is proved that if (a) all bases of X are shrinking, or (b) all bases of X are boundedly complete, then X is reflexive.

Original language	English
Pages (from-to)	74-79
Number of pages	6
Journal	Israel Journal of Mathematics
Volume	6
Issue number	1
DOIs	https://doi.org/10.1007/BF02771607
State	Published - Jan 1968

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A remark on bases and reflexivity in Banach spaces

Abstract

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