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Positive bilinear operators in Calderón-Lozanovskii spaces
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2003 (English)In: Archiv der Mathematik, ISSN 0003-889X, E-ISSN 1420-8938, Vol. 81, no 1, 26-37 p.Article in journal (Refereed) Published
Abstract [en]

A generalization of an abstract Hölder-Rogers inequality for positive bilinear operators is proved. Then it is used in the theory of interpolation of operators. An interpolation theorem for positive bilinear operators between Calderón-Lozanovskii spaces holds if and only if the parameter functions generating those spaces satisfy a generalized C-supermultiplicativity condition (2). In the case when all generating functions are the same this condition is exactly the same as the C-supermultiplicativity condition on the function.

Place, publisher, year, edition, pages
2003. Vol. 81, no 1, 26-37 p.
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URN: urn:nbn:se:ltu:diva-14806DOI: 10.1007/s00013-003-0512-yLocal ID: e39ba940-a9f6-11db-aeba-000ea68e967bOAI: diva2:987779
Validerad; 2003; 20070122 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Maligranda, Lech
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