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Real interpolation for divisible cones
Department of Applied Mathematics and Analysis, University of Barcelona.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
1999 (English)In: Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, E-ISSN 1464-3839, Vol. 42, no 2, p. 285-304Article in journal (Refereed) Published
Abstract [en]

We give necessary and sufficient conditions on a general cone of positive functions to satisfy the Decomposition Property (DP) introduced in [5] and connect the results with the theory of interpolation of cones introduced by Sagher [9]. One of our main result states that if Q satisfies DP or equivalently is divisible, then for the quasi-normed spaces E0 and E1, According to this formula, it yields that the interpolation theory for divisible cones can be easily obtained from the classical theory

Place, publisher, year, edition, pages
1999. Vol. 42, no 2, p. 285-304
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-8415DOI: 10.1017/S0013091500020253Local ID: 6ecf81c0-7f91-11db-8824-000ea68e967bOAI: oai:DiVA.org:ltu-8415DiVA, id: diva2:981353
Note
Godkänd; 1999; 20061129 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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Ericsson, StefanPersson, Lars-Erik

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