Ideals of uniformly continuous mappings on pseudometric spaces
Jan Pelant, Jiří Vilímovský (1986)
Commentationes Mathematicae Universitatis Carolinae
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Jan Pelant, Jiří Vilímovský (1986)
Commentationes Mathematicae Universitatis Carolinae
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N. C. Manna (1970)
Colloquium Mathematicae
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E. Pap (1976)
Matematički Vesnik
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T. Gantner (1970)
Fundamenta Mathematicae
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Don A. Mattson (1977)
Colloquium Mathematicae
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Vilímovský, J.
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E. Alfsen, O. Njastad (1963)
Fundamenta Mathematicae
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J. F. Feinstein (2001)
Studia Mathematica
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In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point.
Boyko, Nataliia, Kadets, Vladimir (2009)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 46B20. Uniform G-convexity of Banach spaces is a recently introduced natural generalization of uniform convexity and of complex uniform convexity. We study conditions under which uniform G-convexity of X passes to the space of X-valued functions Lp (m,X).
Roland Coghetto (2016)
Formalized Mathematics
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In this article, we formalize in Mizar [1] the notion of uniform space introduced by André Weil using the concepts of entourages [2]. We present some results between uniform space and pseudo metric space. We introduce the concepts of left-uniformity and right-uniformity of a topological group. Next, we define the concept of the partition topology. Following the Vlach’s works [11, 10], we define the semi-uniform space induced by a tolerance and the uniform space induced by an equivalence...