A note on regular methods of summability and the banach-saks property

P. Erdos; M. Magidor

doi:10.1090/S0002-9939-1976-0430596-1

A note on regular methods of summability and the banach-saks property

P. Erdos, M. Magidor

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

47 Scopus citations

Abstract

Using the Galvin-Prikry partition theorem from set theory it is proved that every bounded sequence in a Banach space has a subsequence such that either every subsequence of which is summable or no subsequence of which is summable.

Original language	English
Pages (from-to)	233-234
Number of pages	2
Journal	Proceedings of the American Mathematical Society
Volume	59
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1976-0430596-1
State	Published - Sep 1976
Externally published	Yes

Keywords

Partition theorems
Regular method of summability

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10.1090/S0002-9939-1976-0430596-1

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abstract = "Using the Galvin-Prikry partition theorem from set theory it is proved that every bounded sequence in a Banach space has a subsequence such that either every subsequence of which is summable or no subsequence of which is summable.",

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A note on regular methods of summability and the banach-saks property

Abstract

Keywords

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