Generalized noncommutative Hardy and Hardy-Hilbert type inequalities
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | International Journal of Mathematics |
Volume | 21 |
Issue number | 10 |
Pages (from-to) | 1283-1295 |
Number of pages | 13 |
ISSN | 0129-167X |
DOIs | |
Publication status | Published - 2010 |
- Faculty of Social Sciences - inequalities, Hardy–Hilbert's inequality, Godunova's inequality, weights, positive operator, operator convex functions
Research areas
ID: 22952728