Abstract
In this chapter we study an important and useful class of functions called operator monotone functions. These are real functions whose extensions to Hermitian matrices preserve order. Such functions have several special properties, some of which are studied in this chapter. They are closely related to properties of operator convex functions. We shall study both of these together.
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© 1997 Springer Science+Business Media New York
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Bhatia, R. (1997). Operator Monotone and Operator Convex Functions. In: Matrix Analysis. Graduate Texts in Mathematics, vol 169. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0653-8_5
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DOI: https://doi.org/10.1007/978-1-4612-0653-8_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6857-4
Online ISBN: 978-1-4612-0653-8
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