On the boundedness of threshold operators in $L_1[0,1]$ with respect to the Haar basis

arxiv: 1603.05732 · v1 · pith:TOSECSRDnew · submitted 2016-03-18 · 🧮 math.FA

On the boundedness of threshold operators in L₁[0,1] with respect to the Haar basis

Steven J. Dilworth , Smbat Gogyan , Denka Kutzarova , Thomas Schlumprecht This is my paper

classification 🧮 math.FA

keywords basishaarboundednessnear-unconditionalitynormalizedoperatorspropertyprove

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We prove a near-unconditionality property for the normalized Haar basis of $L_1[0,1]$.

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