On the simultaneous approximation of certain numbers.
K. Väänänen (1977)
Journal für die reine und angewandte Mathematik
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K. Väänänen (1977)
Journal für die reine und angewandte Mathematik
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Jun-iti Nagata (1960)
Journal für die reine und angewandte Mathematik
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Thomas Donaldson (1973)
Journal für die reine und angewandte Mathematik
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Chao-Hui Yang (1958)
Publications de l'Institut Mathématique
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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.
David A. Sprecher (1968)
Journal für die reine und angewandte Mathematik
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L.D. Loveland, J.E. Valentine (1973)
Journal für die reine und angewandte Mathematik
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Glen Richard Hall (1989)
Banach Center Publications
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E.N. Dancer (1986)
Journal für die reine und angewandte Mathematik
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M. Janc (1983)
Matematički Vesnik
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Peter Lindqvist (1986)
Journal für die reine und angewandte Mathematik
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N.J. Kalton, G. Godefroy, D. Li (1996)
Journal für die reine und angewandte Mathematik
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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...
George G. Lorentz, Karl L. Zeller (1969)
Mathematische Zeitschrift
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Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.
Leca, Irina A. (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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F. Acquistapace, F. Broglia (1992)
Journal für die reine und angewandte Mathematik
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