On monotone solutions of linear advanced equations.
Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Lj. Kočinac (1991)
Matematički Vesnik
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Ian Stares (1995)
Commentationes Mathematicae Universitatis Carolinae
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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.
Marko Švec (1967)
Colloquium Mathematicae
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Philip Hartman (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Nikolaos S. Papageorgiou (1991)
Publications de l'Institut Mathématique
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Attila Andai (2006)
Banach Center Publications
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The Fisher informational metric is unique in some sense (it is the only Markovian monotone distance) in the classical case. A family of Riemannian metrics is called monotone if its members are decreasing under stochastic mappings. These are the metrics to play the role of Fisher metric in the quantum case. Monotone metrics can be labeled by special operator monotone functions, according to Petz's Classification Theorem. The aim of this paper is to present an idea how one can narrow the...
Andrzej Smajdor (2006)
Annales Polonici Mathematici
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We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).
Volle, M. (1994)
Journal of Convex Analysis
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Rosalind Young (1929)
Fundamenta Mathematicae
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Glen Richard Hall (1989)
Banach Center Publications
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Sameer Chavan, V. M. Sholapurkar (2015)
Studia Mathematica
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Motivated by some structural properties of Drury-Arveson d-shift, we investigate a class of functions consisting of polynomials and completely monotone functions defined on the semi-group ℕ of non-negative integers, and its operator-theoretic counterpart which we refer to as the class of completely hypercontractive tuples of finite order. We obtain a Lévy-Khinchin type integral representation for the spherical generating tuples associated with such operator tuples and discuss its applications. ...