Loewner matrices of matrix convex and monotone functions

Fumio Hiai, Takashi Sano

Type: Article

Publication Date: 2012-04-01

Citations: 15

DOI: https://doi.org/10.2969/jmsj/06420343

View Publication

Locations

Journal of the Mathematical Society of Japan - View
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Loewner matrices of matrix convex and monotone functions	2010	Fumio Hiai Takashi Sano
+	Convex and Monotone Matrix Functions and Their Applications in Operator Theory	2016	Frank Hansen
+	Monotone and convex matrix functions	2011	Barry Simon
+	Matrix Monotone Functions and Convexity	2014	Fumio Hiai Dėnes Petz
+	Loewner matrices and operator convexity	2009	Rajendra Bhatia Takashi Sano
+	Schur multiplier norms for Loewner matrices	2013	Koenraad M. R. Audenaert
+	Convexity, II: Concavity and Monotonicity	2019	Barry Simon
+	Accretive Matrices and Matrix Convex Functions	2022	Yassine Bedrani Fuad Kittaneh Mohammad Sababheh
+	Schur multiplier norms for Loewner matrices	2013	Koenraad M. R. Audenaert
+	Schur multiplier norms for Loewner matrices	2013	Koenraad M. R. Audenaert
+	Structure of the spaces of matrix monotone functions and of matrix convex functions and Jensen's type inequality for operators	2008	Hiroyuki Osaka Jun Tomiyama
+	Conditional negativity of anti-Loewner matrices	2011	Chikara Hidaka Takashi Sano
+	Monotone and convex functions on matrix algebras (作用素不等式に関わる最近の話題研究集会報告集)	2004	淳富山
+	Monotone and convex functions on matrix algebras (Recent Topics on Operator inequalities)	2004	Jun Tomiyama
+	A Brief Review of Operator Monotone and Operator Convex Functions	2022	Himanshu Agarwal Isha Garg
+	Operator Monotone Functions: Characterizations and Integral Representations	2013	Pattrawut Chansangiam
+ PDF Chat	Norm inequalities involving matrix monotone functions	2004	Mandeep Singh Harkrishan Lal Vasudeva
+	Monotone Matrix Functions	1974	William F. Donoghue
+	Some characteristic properties of families of matrix monotone functions and of matrix convex functions (バナッハ空間、関数空間及び不等式の研究とその応用--RIMS研究集会報告集)	2007	淳富山
+	Matrix monotone functions and matrix convex functions as truncated completely monotone functions (バナッハ空間及び関数空間論における幾何学的構造の研究とその応用--RIMS研究集会報告集)	2009	淳富山

Works That Cite This (15)

Action	Title	Year	Authors
+	Positivity around Cauchy matrices	2020	Takashi Sano Hiroki Tamura
+	Families of completely positive maps associated with monotone metrics	2013	Fumio Hiai Hideki Kosaki Dėnes Petz Mary Beth Ruskai
+	Operator inequalities: From a general theorem to concrete inequalities	2014	Mitsuru Uchiyama
+	Superadditivity and derivative of operator functions	2014	Mitsuru Uchiyama Atsushi Uchiyama Mariko Giga
+ PDF Chat	Kwong matrices and operator monotone functions on $(0,1)$	2014	Juri Morishita Takashi Sano Shintaro Tachibana
+	Conditional negativity of Kwong matrices II	2020	Yuki Numazawa Takashi Sano
+ PDF Chat	Contraction coefficients for noisy quantum channels	2015	Fumio Hiai Mary Beth Ruskai
+	Higher order extension of Löwner’s theory: Operator 𝑘-tone functions	2014	Uwe Franz Fumio Hiai Éric Ricard
+ PDF Chat	Inertia of Kraus matrices	2023	Takashi Sano Kazuki Takeuchi
+	Families of completely positive maps associated with monotone metrics	2012	Fumio Hiai Hideki Kosaki Dėnes Petz Mary Beth Ruskai

Works Cited by This (11)

Action	Title	Year	Authors
+	Nonnegative Matrices and Applications	1997	R.B. Bapat T. E. S. Raghavan
+	Über konvexe Matrixfunktionen	1936	F. Jonathan Kraus
+	Double piling structure of matrix monotone functions and of matrix convex functions	2009	Hiroyuki Osaka Jun Tomiyama
+	Positivity and conditional positivity of Loewner matrices	2009	Rajendra Bhatia Takashi Sano
+	Loewner matrices and operator convexity	2009	Rajendra Bhatia Takashi Sano
+	Jensen's inequality for operators and L�wner's theorem	1982	Frank Hansen Gert Kj�rg�rd Pedersen
+ PDF Chat	Schlicht mappings and infinitely divisible kernels	1971	Roger A. Horn
+ PDF Chat	Operator monotone functions, positive definite kernels and majorization	2010	Mitsuru Uchiyama
+ PDF Chat	Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization	2010	Fumio Hiai
+ PDF Chat	Some function classes related to the class of convex functions	1962	A. M. Bruckner E. Ostrow