Metric betweenness in normed linear spaces
F. A. Toranzos (1971)
Colloquium Mathematicae
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F. A. Toranzos (1971)
Colloquium Mathematicae
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Clyde F. Martin, J. E. Valentine (1976)
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Journal of Applied Mathematics and Stochastic Analysis
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Karol Baron (1983)
Annales Polonici Mathematici
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Antosik, Piotr, Swartz, Charles (1990)
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International Journal of Mathematics and Mathematical Sciences
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Veselý, L. (1991)
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Kazuhisa Nakasho, Yuichi Futa, Yasunari Shidama (2014)
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In this article, we formalize topological properties of real normed spaces. In the first part, open and closed, density, separability and sequence and its convergence are discussed. Then we argue properties of real normed subspace. Then we discuss linear functions between real normed speces. Several kinds of subspaces induced by linear functions such as kernel, image and inverse image are considered here. The fact that Lipschitz continuity operators preserve convergence of sequences...
Janusz Matkowski, Małgorzata Wróbel (2012)
Open Mathematics
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We show that the generator of any uniformly bounded set-valued Nemytskij composition operator acting between generalized Hölder function metric spaces, with nonempty, bounded, closed, and convex values, is an affine function.