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Operator Inequalities Involving Operator Monotone Functions

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Advances in Matrix Inequalities

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 176))

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Abstract

In this chapter, we gather improvements of known operator inequalities involving positive linear maps, geometric means, operator monotone functions, and doubly concave functions. We note that these types of operator inequalities have essential applications in the theory of functional equations in non-euclidean geometry.

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Correspondence to Mohammad Bagher Ghaemi .

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Ghaemi, M.B., Gharakhanlu, N., Rassias, T.M., Saadati, R. (2021). Operator Inequalities Involving Operator Monotone Functions. In: Advances in Matrix Inequalities. Springer Optimization and Its Applications, vol 176. Springer, Cham. https://doi.org/10.1007/978-3-030-76047-2_4

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