La Fonctionnelle g Et Queloques Problèmes Des Meilleures Approximations Dans Des Espaces Normés
P. M. Miličić (1990)
Publications de l'Institut Mathématique
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Displaying similar documents to “Functional characterization of best and good approximation in normed product spaces.”
La Fonctionnelle g Et Queloques Problèmes Des Meilleures Approximations Dans Des Espaces Normés
Characterizations of elements of best approximation in non-Archimedean normed spaces
Tulsi Dass Narang (1985)
Archivum Mathematicum
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Mapping in normed linear spaces and characterization of orthogonality problem of best approximations in 2-norm.
Singh, Vinai K., Kumar, Santosh (2009)
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Norms in product spaces which preserve approximation properties.
Carlos Benítez, Manuel Fernández (1986)
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Divergent vector sequences {yₙ} with Δyₙ → 0
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An approximation property of divergent sequences in normed vector spaces is discussed.
On the Extension of Continuous Linear Functionals and Best Approximation in Normed Linear Spaces.
I. SINGER (1965)
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Separability of Real Normed Spaces and Its Basic Properties
Kazuhisa Nakasho, Noboru Endou (2015)
Formalized Mathematics
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In this article, the separability of real normed spaces and its properties are mainly formalized. In the first section, it is proved that a real normed subspace is separable if it is generated by a countable subset. We used here the fact that the rational numbers form a dense subset of the real numbers. In the second section, the basic properties of the separable normed spaces are discussed. It is applied to isomorphic spaces via bounded linear operators and double dual spaces. In the...
Equilateral simplices in normed 4-space.
Makeev, V.V. (2005)
Journal of Mathematical Sciences (New York)
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Topological Properties of Real Normed Space
Kazuhisa Nakasho, Yuichi Futa, Yasunari Shidama (2014)
Formalized Mathematics
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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...