Abstract
The Schwarz inequality and Jensen's one are fundamental in a Hilbert space. Regarding a sesquilinear map $B(X,Y)=Y^*X$ as an operator-valued inner product, we discuss operator versions for the above inequalities and give simple conditions that the equalities hold.
Citation
Jun Ichi Fujii. "Operator-valued inner product and operator inequalities." Banach J. Math. Anal. 2 (2) 59 - 67, 2008. https://doi.org/10.15352/bjma/1240336292
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