Some examples concerning proximinality in Banach spaces
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Publication:498469
DOI10.1016/j.jat.2015.06.002zbMath1327.41011OpenAlexW837924738MaRDI QIDQ498469
Yu Zhou, Zi Hou Zhang, Chun Yan Liu
Publication date: 28 September 2015
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2015.06.002
Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Compactness in Banach (or normed) spaces (46B50)
Related Items (11)
Convexity and best approximation in Banach spaces ⋮ A note in approximative compactness and midpoint locally \(k\)-uniform rotundity in Banach spaces ⋮ Some equivalent conditions of proximinality in nonreflexive Banach spaces ⋮ Strong ball proximinality and continuity of metric projection in \(L_1\)-predual spaces ⋮ Weakly compactly LUR Banach spaces ⋮ Characterizations of weakly uniformly rotund Banach spaces ⋮ Three kinds of dentabilities in Banach spaces and their applications ⋮ Simultaneous strong proximinality in Banach spaces ⋮ On weak well-posedness of the nearest point and mutually nearest point problems in Banach spaces ⋮ Unnamed Item ⋮ Strong Proximinality in Metric Spaces
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- A Banach space that is MLUR but not HR
- Some examples concerning rotundity in Banach spaces
- Strong proximinality of closed convex sets
- Proximinality in Banach spaces
- Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces
- APPROXIMATIVE PROPERTIES OF SETS IN NORMED LINEAR SPACES
- An Introduction to Banach Space Theory
- Strong proximinality and polyhedral spaces
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