Special uniform approximations of continuous vector-valued functions. I: Special approximations in \(C_X(T)\)

DOI10.1006/JATH.2002.3733zbMath1023.46008OpenAlexW2503060991MaRDI QIDQ1867525

Vlad Timofte

Publication date: 2 April 2003

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2002.3733

zbMATH Keywords

uniform approximationtensor productuniform densityextension by continuity

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniform structures and generalizations (54E15) Spaces of linear operators; topological tensor products; approximation properties (46A32)

Related Items (4)

Special uniform approximations of continuous vector-valued functions. II: Special approximations in \(C_{X}(T)\otimes C_{Y}(S)\). ⋮ Stone-Weierstrass and extension theorems in the nonlocally convex case ⋮ Stone-Weierstrass theorems revisited ⋮ Generalized Dini theorems for nets of functions on arbitrary sets

Cites Work

• Uniform approximation: The non-locally convex case
• On the Weierstrass-Stone theorem
• An extension of Tietze's theorem
• Approximation of Vector-Valued Continuous Functions
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