The connectivity and approximation properties of sets in linear normed spaces

DOI10.1007/BF01161866zbMath0327.41029MaRDI QIDQ1226247

V. A. Koshcheev

Publication date: 1975

Published in: Mathematical Notes (Search for Journal in Brave)

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items

Chebyshev sets in geodesic spaces, Connectedness and other geometric properties of suns and Chebyshev sets, Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces, Unnamed Item, Approximatively compact sets in asymmetric Efimov-Stechkin spaces and convexity of almost suns, Properties of monotone path-connected sets, Ball-complete sets and solar properties of sets in asymmetric spaces

Cites Work

• Chebyshev sets and some generalizations of them
• Charakterisierung bester Approximationen in normierten Vektorräumen
• APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
• Locally Uniformly Convex Banach Spaces
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