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arxiv: 1502.07557 · v1 · pith:PD7NHA4Inew · submitted 2015-02-26 · 🧮 math.FA

A Schauder basis for L₁(0,infty) consisting of non-negative functions

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keywords functionsnon-negativebasisconsistinginftyschauderbasicconstruct
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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 $L_p$, $1\le p < \infty$.

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