Open Access
Summer 2015 A Schauder basis for $L_{1}(0,\infty)$ consisting of non-negative functions
William B. Johnson, Gideon Schechtman
Illinois J. Math. 59(2): 337-344 (Summer 2015). DOI: 10.1215/ijm/1462450704

Abstract

We construct a Schauder basis for $L_{1}$ consisting of non-negative functions and investigate unconditionally basic and quasibasic sequences of non-negative functions in $L_{p}$, $1\le p<\infty$.

Citation

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William B. Johnson. Gideon Schechtman. "A Schauder basis for $L_{1}(0,\infty)$ consisting of non-negative functions." Illinois J. Math. 59 (2) 337 - 344, Summer 2015. https://doi.org/10.1215/ijm/1462450704

Information

Received: 25 February 2015; Revised: 10 September 2015; Published: Summer 2015
First available in Project Euclid: 5 May 2016

zbMATH: 1345.46006
MathSciNet: MR3499515
Digital Object Identifier: 10.1215/ijm/1462450704

Subjects:
Primary: 46B03 , 46B15 , 46E30

Rights: Copyright © 2015 University of Illinois at Urbana-Champaign

Vol.59 • No. 2 • Summer 2015
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