A Schauder basis for $L_1(0,\infty)$ consisting of non-negative functions

preprint2015arXivOpen access

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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A Schauder basis for $L_1(0,\infty)$ consisting of non-negative functions

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A Schauder basis for L1(0,∞)L_1(0,\infty)L1​(0,∞) consisting of non-negative functions

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A Schauder basis for $L_1(0,\infty)$ consisting of non-negative functions