Spain, P. G. (1996) Operator versions of the Kantorovich inequality. Proceedings of the American Mathematical Society, 124(9), pp. 2813-2819. (doi: 10.1090/S0002-9939-96-03424-7)
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Abstract
The Operator Kantorovich Inequality (R2 − r2) u∗(a∗a) u ≤ R2 (u∗a∗u)(u∗au) holds for a wide class of operators a on a Hilbert space H and all operators u : K→H for which [a] u is a partial isometry, [a] being the range projection of a.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Spain, Dr Philip |
| Authors: | Spain, P. G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the American Mathematical Society |
| Journal Abbr.: | Proc. Amer. Math. Soc. |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9939 |
| ISSN (Online): | 1088-6826 |
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