On the linearity of some sets of sequences defined by \(L_{p}\)-functions and \(L_{1}\)-functions determining \(\ell_{1}\)

DOI10.3792/pjaa.87.77zbMath1252.46004OpenAlexW2083514183MaRDI QIDQ719913

Gen Nakamura, Kazuo Hashimoto

Publication date: 12 October 2011

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.77

zbMATH Keywords

sequence spacelinearityessential bounded variation

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45)

Related Items (2)

On the essential bounded Riesz \(\Phi \)-variation ⋮ On the essential bounded variation of \(L_p(\mathbb {R},X)\)-functions

Cites Work

• An \(L_{p}\)-function determines \(\ell_{p}\)
• Distinguishing a Sequence of Random Variables from a Translate of Itself
• Unnamed Item

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