Cauchy-Schwarz and Means Inequalities for Selfadjoint Operator
Journal Title: Academic Research International - Year 2014, Vol 5, Issue 5
Abstract
We determined that for bounded operators and on a Hilbert space there holds for all , and if and are additionally self-adjoint operators, then for all . We proved that if and are self-adjoint operators on where then . Similarly the inequality is known. We proved that for self-adjoint normal contractions operators and then hold, for all .
Authors and Affiliations
Ashraf. S. Elshreif
Keywords
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