Improved Cauchy-Schwarz norm inequality for operators. (English) Zbl 1361.15026
Cauchy-Schwarz-type norm inequalities for operators or matrices have been well studied. Some authors use variants of the integral Hermite-Hadamard inequality to refine Cauchy-Schwarz-type norm inequalities. The complicated appearance makes these results unappealing. The present paper is such an example.
Reviewer: Minghua Lin (Shanghai)
MSC:
| 15A45 | Miscellaneous inequalities involving matrices |
| 15A60 | Norms of matrices, numerical range, applications of functional analysis to matrix theory |
| 47A30 | Norms (inequalities, more than one norm, etc.) of linear operators |
| 47B65 | Positive linear operators and order-bounded operators |
