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Amemiya norm equals Orlicz norm in general
Adam Mickiewicz University, Poznan.
LuleƄ University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
2000 (English)In: Indagationes mathematicae, ISSN 0019-3577, E-ISSN 1872-6100, Vol. 11, no 4, 573-585 p.Article in journal (Refereed) Published
Abstract [en]

The authors present a proof that in Orlicz spaces the Amemiya norm and the Orlicz norm coincide for any Orlicz function $\varphi$. This gives the answer for an open problem. They also give a description of the Amemiya type for the Mazur-Orlicz $F$-norm.

Place, publisher, year, edition, pages
2000. Vol. 11, no 4, 573-585 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-9574Local ID: 838f2f30-a574-11db-9811-000ea68e967bOAI: oai:DiVA.org:ltu-9574DiVA: diva2:982512
Note
Validerad; 2000; 20070112 (kani)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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