Independent sequences in Banach spaces

A. Szankowski; P. Terenzi

doi:10.1007/BF02760661

Independent sequences in Banach spaces

A. Szankowski^*, P. Terenzi

^*Corresponding author for this work

Einstein Institute of Mathematics

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

Abstract

In every ∞-dimensional separable Banach space X there is a fundamental sequence such that no subsequence of it, which is fundamental in X, is independent ("{x_n} is fundamental in X" means X=span {x_n}).

Original language	English
Pages (from-to)	147-150
Number of pages	4
Journal	Israel Journal of Mathematics
Volume	41
Issue number	1-2
DOIs	https://doi.org/10.1007/BF02760661
State	Published - Jun 1982

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title = "Independent sequences in Banach spaces",

abstract = "In every ∞-dimensional separable Banach space X there is a fundamental sequence such that no subsequence of it, which is fundamental in X, is independent ({"}{x n} is fundamental in X{"} means X=span {x n}).",

author = "A. Szankowski and P. Terenzi",

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AU - Terenzi, P.

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Independent sequences in Banach spaces

Abstract

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