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Monotonicity of the Square Root

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Loewner's Theorem on Monotone Matrix Functions

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 354))

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Abstract

As explained in the preface, most applications of Loewner’s theorem involve the easy half of the theorem. This chapter is an aside involving the two most significant and common matrix monotone functions: fractional powers and the log.

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Authors and Affiliations

  1. Division of Physics, Math, and Astronomy, Caltech, Pasadena, CA, USA

    Barry Simon

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Simon, B. (2019). Monotonicity of the Square Root. In: Loewner's Theorem on Monotone Matrix Functions. Grundlehren der mathematischen Wissenschaften, vol 354. Springer, Cham. https://doi.org/10.1007/978-3-030-22422-6_4

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