Honda, Aoi; Okazaki, Yoshiaki; Sato, Hiroshi An \(L_{p}\)-function determines \(\ell_{p}\). (English) Zbl 1142.26314 Proc. Japan Acad., Ser. A 84, No. 3, 39-41 (2008). Summary: \(\ell_{p}\) is characterized by the convergence of a series defined by an \(L_{p}\)-function on the real line \(\mathbb{R}\). Cited in 3 ReviewsCited in 1 Document MSC: 26D10 Inequalities involving derivatives and differential and integral operators 46A45 Sequence spaces (including Köthe sequence spaces) 60G30 Continuity and singularity of induced measures Keywords:\(\ell_{p}\); absolutely continuous; integrable function; \(p\)-integral PDF BibTeX XML Cite \textit{A. Honda} et al., Proc. Japan Acad., Ser. A 84, No. 3, 39--41 (2008; Zbl 1142.26314) Full Text: DOI Euclid References: [1] L. A. Shepp, Distinguishing a sequence of random variables from a translate of itself, Ann. Math. Statist. 36 (1965), 1107-1112. · Zbl 0136.40108 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.