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Generalized noncommutative Hardy and Hardy-Hilbert type inequalities
Department of Economics, Copenhagen University.
Faculty of Textile Technology, University of Zagreb.
Faculty of Textile Technology, University of Zagreb.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2010 (English)In: International Journal of Mathematics, ISSN 0129-167X, Vol. 21, no 10, p. 1283-1295Article in journal (Refereed) Published
Abstract [en]

We extend and unify several Hardy type inequalities to functions whose values are positive semi-definite operators. In particular, our methods lead to the operator versions of Hardy-Hilbert's and Godunova's inequalities. While classical Hardy type inequalities hold for parameter values p > 1, it is typical that the operator versions hold only for 1 < p ≤ 2, even for functions with values in 2 × 2 matrices.

Place, publisher, year, edition, pages
2010. Vol. 21, no 10, p. 1283-1295
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5766DOI: 10.1142/S0129167X10006501Local ID: 3f254500-ecbf-11df-8b36-000ea68e967bOAI: oai:DiVA.org:ltu-5766DiVA: diva2:978641
Note
Validerad; 2010; 20101110 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-24Bibliographically approved

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