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On operator monotone and operator convex functions
Russian Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Correction: New characterizations of operator monotone functions
Acta Scientiarum MathematicarumzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vo, Bich Khue +2 more
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Operator Monotone and Operator Convex Functions
1997In 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.
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Maximal Monotone Operators and Saddle Functions I
Zeitschrift für Analysis und ihre Anwendungen, 1986We investigate the monotone operator T_K \subseteq E \times E^*, f \in T_Kx\colon = [–f, f] \in \partial K(x,x) , which is defined via the subdifferential of a concave-convex saddle function K
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Monotone J�nsson operations and near unanimity functions
Algebra Universalis, 1995The concepts of nonextendible colored posets and zigzags of a poset are introduced. Some important properties of zigzags are proven. By using them, the author gives a proof of the well-known conjecture that any finite bounded poset which admits Jónsson operations, also admits a near-unanimity function.
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Norm inequalities involving operator monotone functions
Linear and Multilinear Algebra, 2019In this paper, we show an analogue inequality of geometric concavity property for operator monotone functions involving Kantorovich constant.
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New characterizations of operator monotone functions
Acta Scientiarum MathematicarumzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bich Khue Vo +2 more
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Koopman operator dynamical models: Learning, analysis and control
Annual Reviews in Control, 2021Stefan Sosnowski
exaly

