Approximative compactness and continuity of metric projector in Banach spaces and applications

DOI10.1007/s11425-007-0142-0zbMath1153.46008OpenAlexW1501321591MaRDI QIDQ931483

Shutao Chen, Wojciech Kowalewski, Marek Wisła, Henryk Hudzik, Yu-Wen Wang

Publication date: 25 June 2008

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0142-0

zbMATH Keywords

best approximationapproximative compactnessgeneralised inversecontinuity of the metric projectionmidpoint local uniform rotundity

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (11)

Weak-star dentability, quasi-weak-star near dentability and continuity of metric projector in Banach spaces ⋮ Metric projection operator and continuity of the set-valued metric generalized inverse in Banach spaces ⋮ Smoothness and approximative compactness in Orlicz function spaces ⋮ Continuous homogeneous selections of set-valued metric generalized inverses of linear operators in Banach spaces ⋮ Almost convexity and continuous selections of the set-valued metric generalized inverse in Banach spaces ⋮ 2-strict convexity and continuity of set-valued metric generalized inverse in Banach spaces ⋮ Perturbations of Moore-Penrose metric generalized inverses of linear operators in Banach spaces ⋮ Approximative compactness and Radon-Nikodým property in \(w^\ast\) nearly dentable Banach spaces and applications ⋮ Complex convexity of Orlicz modular sequence spaces ⋮ Complex convexity and fixed point theorems in Orlicz modular spaces ⋮ Convexities and approximative compactness and continuity of metric projection in Banach spaces

Cites Work

• Orthogonally complemented subspaces in Banach spaces
• Zur Rationalen Approximation von e-x auf [0,infinity]
• Geometry of Banach spaces. Selected topics
• Approximate compactness in Orlicz spaces
• Metric generalized inverse of linear operator in Banach space
• Metric generalized inverse for linear manifolds and extremal solutions of linear inclusion in Banach spaces
• Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces
• Drop property equals reflexivity
• Controllability and observability of control systems under uncertainty
• FULLY CONVEX NORMED LINEAR SPACES
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