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Inverses of Operator Convex Functions

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Ordered Structures and Applications

Part of the book series: Trends in Mathematics ((TM))

Abstract

The inverse of an operator convex function is shown to be operator monotone and due to the wide applications of the class of Nevanlinna’Pick functions we formulate a function theoretic version of the results.

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Correspondence to Henrik L. Pedersen .

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Pedersen, H.L., Uchiyama, M. (2016). Inverses of Operator Convex Functions. In: de Jeu, M., de Pagter, B., van Gaans, O., Veraar, M. (eds) Ordered Structures and Applications. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-27842-1_23

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