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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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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Aleš Nekvinda, Ondřej Zindulka (2011)
Fundamenta Mathematicae
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A metric space (X,d) is monotone if there is a linear order < on X and a constant c such that d(x,y) ≤ cd(x,z) for all x < y < z in X, and σ-monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not σ-monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not σ-monotone. This answers a question raised by the second author.
Nikolaos S. Papageorgiou (1991)
Publications de l'Institut Mathématique
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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. ...
Dariusz Zagrodny (2010)
Czechoslovak Mathematical Journal
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It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator can be approximated by a sequence of maximal monotone operators of type NI, which converge to in a reasonable sense (in the sense of Kuratowski-Painleve convergence).