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Indices, convexity and concavity of Calderón-Lozanovskii spaces
Department of Mathematical Sciences, University of Memphis.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0002-9584-4083
2003 (English)In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 92, no 1, 141-160 p.Article in journal (Refereed) Published
Abstract [en]

In this article we discuss lattice convexity and concavity of Calderón-Lozanovskii space Eφ, generated by a quasi-Banach space E and an increasing Orlicz function φ. We give estimations of convexity and concavity indices of Eφ in terms of Matuszewska-Orlicz indices of φ as well as convexity and concavity indices of E. In the case when Eφ is a rearrangement invariant space we also provide some estimations of its Boyd indices. As corollaries we obtain some necessary and sufficient conditions for normability of Eφ, and conditions on its nontrivial type and cotype in the case when Eφ is a Banach space. We apply these results to Orlicz-Lorentz spaces receiving estimations, and in some cases the exact values of their convexity, concavity and Boyd indices

Place, publisher, year, edition, pages
2003. Vol. 92, no 1, 141-160 p.
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-9413Local ID: 806de1c0-64d8-11db-8cbe-000ea68e967bOAI: oai:DiVA.org:ltu-9413DiVA: diva2:982351
Note
Validerad; 2003; 20061026 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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