Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-13T12:23:31.214Z Has data issue: false hasContentIssue false
  • English
  • Français

Some trace inequalities for operators

Part of: General theory of linear operators

Published online by Cambridge University Press:  09 April 2009

Xinmin Yang
Xinmin Yang
Affiliation:
Department of Mathematics, Chongqing Normal University, Chongqing, 630047, China
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this paper, we obtain some trace inequalities for arbitrary finite positive definite operators. Finally an open question is presented.

Keywords

trace inequalitypositive definite operators.

MSC classification

Secondary: 47A63: Operator inequalities
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 58 , Issue 2 , April 1995 , pp. 281 - 286
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Bellman, R., ‘Some inequalities for positive matrices’, in: General inequalities 2. Proceedings, 2nd International Conference on General Inequalities (ed. Backenbach, E. F.), (Birkhauser, Basel, 1980) pp. 89–90.Google Scholar
[2]Ringrose, J. R., Compact non-self-adjoint operators (Van Nostrand, New York, 1971).Google Scholar
[3]Singh, D., ‘A trace inequality for operators’, J. Math. Anal. Appl. 150 (1990), 159–160.Google Scholar
[4]Yang, Y., ‘A matrix trace inequality’, J. Math. Anal. Appl. 133 (1988), 573–574.Google Scholar