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

Access to Document

10.1007/BF02760661

Cite this

@article{c5b20616e2614d02a08ec2d8fbfb9a9e,

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",

year = "1982",

month = jun,

doi = "10.1007/BF02760661",

language = "אנגלית",

volume = "41",

pages = "147--150",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - Independent sequences in Banach spaces

AU - Szankowski, A.

AU - Terenzi, P.

PY - 1982/6

Y1 - 1982/6

N2 - 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}).

AB - 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}).

UR - https://www.scopus.com/pages/publications/51649170040

U2 - 10.1007/BF02760661

DO - 10.1007/BF02760661

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51649170040

SN - 0021-2172

VL - 41

SP - 147

EP - 150

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 1-2

ER -

Independent sequences in Banach spaces

Abstract

Access to Document

Other files and links

Fingerprint

Cite this