Geometrical properties determined by the higher duals of a Banach space

zbMath0363.46024MaRDI QIDQ1240392

K. Appert

Publication date: 1977

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (23)

Convexity and best approximation in Banach spaces ⋮ On a theorem of Abatzoglou for operators on abstract \(L\) and \(M\)-spaces ⋮ Weak uniform convexity in interpolation spaces ⋮ A remark on totally smooth renormings ⋮ On complex strictly convex spaces. II ⋮ Very smooth points of spaces of operators ⋮ Computing subdifferential limits of operators on Banach spaces ⋮ Some remarks on Phelps property $U$ of a Banach space into \(C(K)\) spaces ⋮ Minimal extension of linear functionals to second dual spaces ⋮ Multi-dimensional volumes and moduli of convexity in Banach spaces ⋮ Nested sequences of balls, uniqueness of Hahn-Banach extensions and the Vlasov property. ⋮ Multismoothness in Banach spaces ⋮ Convexities and existence of the farthest point ⋮ Convexity and proximinality in Banach space ⋮ Totally smooth renormings ⋮ Smooth points in spaces of operators ⋮ Diameter two properties, convexity and smoothness ⋮ On a new asymptotic norming property ⋮ Some generalizations of locally and weakly locally uniformly convex space ⋮ Some generalizations of locally uniform rotundity ⋮ Convexities and approximative compactness and continuity of metric projection in Banach spaces ⋮ On very rotund Banach space ⋮ Rotundity and Smoothness in Conjugate Spaces

This page was built for publication: Geometrical properties determined by the higher duals of a Banach space