Inverses of Operator Convex Functions

DOI10.1007/978-3-319-27842-1_23zbMath1411.47005OpenAlexW2521231638MaRDI QIDQ4645875

Henrik Laurberg Pedersen, Mitsuru Uchiyama

Publication date: 11 January 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-27842-1_23

zbMATH Keywords

operator monotone functionPick functioninverse functionlogarithmic derivative

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Linear operator inequalities (47A63) Gamma, beta and polygamma functions (33B15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

Composite convex functions

Cites Work

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• Extension of inverses of entire functions of genus 1 and 2 to the upper half plane
• Completely monotone sequences and universally prestarlike functions
• Comparison of norms \(|||f(A)-f(B)|||\) and \(|||f(|A-B|)|||\)
• Finite gap Jacobi matrices. I: The isospectral torus
• Zur konformen Abbildung von Gebieten, die in einer Richtung konvex sind
• A one-parameter family of Pick functions defined by the Gamma function and related to the volume of the unit ball in $n$-space
• Operator monotone functions, positive definite kernels and majorization
• The principal inverse of the gamma function
• Comb functions
• Monotone and Convex Operator Functions
• Bernstein functions. Theory and applications

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