A sufficient condition for global operator monotonicity for functions in several variables

2016/11/20 by А. Р. Миротин, Mirotin, A. R.
Mathematics · Computer Science · #Mathematical Inequalities and Applications #Optimization and Variational Analysis #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.1611.06559

Abstract

The note contains two remarks to the authors note (Mathematical Notes, Vol. 94, 2013, p. 154 -- 156; in Russian) which was also devoted to sufficient conditions of global operator monotonicity.

Related

• Operator monotone functions of several variables
• Operator monotonicity of some functions
• Relationships between Global and Local Monotonicity of Operators
• Monotonicity formulas and (S₊)-property: Old and new
• Injectivity and univalence of complex functions via monotonicity