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On operator monotone and operator convex functions

Russian Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Correction: New characterizations of operator monotone functions

Acta Scientiarum Mathematicarum
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Vo, Bich Khue   +2 more
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Operator Monotone and Operator Convex Functions

1997
In 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, 1986
We 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, 1995
The 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, 2019
In 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 Mathematicarum
zbMATH 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, 2021
Stefan Sosnowski
exaly  

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