Some geometric properties of the spheres in a normed linear space
From MaRDI portal
Publication:770100
DOI10.1215/S0012-7094-58-02550-XzbMath0084.33101WikidataQ116689896 ScholiaQ116689896MaRDI QIDQ770100
Publication date: 1958
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Related Items
Weak-star dentability, quasi-weak-star near dentability and continuity of metric projector in Banach spaces ⋮ A fully convex Banach space which does not have the Banach-Saks property ⋮ On the asymptotic behavior of infinite products of resolvents in Banach spaces ⋮ A generalization of uniformly extremely convex Banach spaces ⋮ Denting points in Köthe-Bochner spaces ⋮ The NSLUC property and Klee envelope ⋮ Relationships between \(K\)-monotonicity and rotundity properties with application ⋮ Asymptotic properties of some non-autonomous systems in Banach spaces ⋮ \(W\)-approximative compactness and continuity of the generalized projection operator in Banach spaces ⋮ A geometrically aberrant Banach space with normal structure ⋮ Weakly compactly LUR Banach spaces ⋮ On complex strictly convex spaces. II ⋮ Product formulas, nonlinear semigroups, and accretive operators ⋮ Weakly invariant norms: geometry of spheres in the space of skew-Hermitian matrices ⋮ Existence and asymptotic properties of solutions of nonlinear multivalued differential inclusions with nonlocal conditions ⋮ On the dual of Cesàro function space ⋮ On the asymptotic properties of non-autonomous systems ⋮ On geometric and best approximation properties of \(k\)-UR and its generalizations ⋮ On the asymptotic behavior of nonlinear semigroups and the range of accretive operators ⋮ Existence of best approximations ⋮ Asymptotic behavior of nonexpansive sequences and mean points ⋮ On the asymptotic behavior of nonlinear semigroups and the range of accretive operators. II ⋮ Unnamed Item ⋮ Property \((H)\) in Köthe-Bochner spaces ⋮ Uniform \(K\)-monotonicity and \(K\)-order continuity in symmetric spaces with application to approximation theory ⋮ Proximinality in Banach spaces ⋮ Some geometric and topological properties of the unit ball in Banach spaces ⋮ Full 2-convexity in Bochner \(L^ p\)-spaces ⋮ Convex functions, subdifferentiability and renormings ⋮ ALUR dual renormings of Banach spaces ⋮ On Upper Semicontinuity of Duality Mappings ⋮ Asymptotic behavior of contractions in Banach spaces ⋮ Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces ⋮ Some geometric and topological properties of the unit ball in Banach spaces ⋮ A generalization of local uniform convexity of the norm ⋮ Asymptotic behavior of solutions of nonlinear Volterra equations and mean points ⋮ On the modules of continuity of an operator of best approximation ⋮ Spaces with a uniformly continuous metric projection ⋮ Unnamed Item ⋮ Asymptotic behavior of semigroups on nonlinear contractions in Banach spaces ⋮ Linear and nonlinear ill-posed problems ⋮ Nonexpansive iterations in hyperbolic spaces ⋮ Projection methods and finite-difference approximation of linear incorrectly formulated problems ⋮ Large-time behavior of solutions to the Stokes approximation equations for two-dimensional compressible flows ⋮ On drop property and nearly uniformly smooth banach spaces ⋮ Unnamed Item ⋮ Approximate selections, best approximations, fixed points, and invariant sets ⋮ Some examples concerning rotundity in Banach spaces ⋮ Fixed-point theorems involving P-compact, semicontractive, and accretive operators not defined on all of a Banach space ⋮ The Geometry of Banach Spaces. Smoothness ⋮ Separately global solutions to rate-independent processes in large-strain inelasticity ⋮ Incorrectly posed problems and stability of quasisolutions ⋮ Invariance of domain theorem for locally A-proper mappings and its implications ⋮ A characterization of strict convexity of Banach spaces and other uses of duality mappings ⋮ Relationship of several variational methods for the approximate solution of ill-posed problems ⋮ Lipschitz conjugation and extension of homeomorphisms in \(l_ p\)-spaces ⋮ On the asymptotic behavior for a certain nonlinear evolution equation ⋮ Unstable linear problems with many-valued operators ⋮ Antipodes theorem for A-proper mappings and its applications to mappings of the modified type (S) or (S)+ and to mapping with the pm property ⋮ R-splines in Banach spaces. I: Interpolation of linear manifolds ⋮ A continuity criterion for metric projections in Banach spaces ⋮ Convexity of Chebyshev sets ⋮ An algorithm for approximation by elements of a cone in a banach space ⋮ On the infinitesimal generators and the asymptotic behavior of nonlinear contraction semi-groups ⋮ Strong solvability in Orlicz spaces ⋮ Continuity of the metric projection ⋮ The asymptotics of nonexpansive iterations ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups ⋮ Convergence of Slices, Geometric Aspects in Banach Spaces and Proximinality ⋮ Approximative compactness and continuity of metric projections ⋮ On convergence of convex sets and relative Chebyshev centers ⋮ Bounds for Nearly Best Approximations ⋮ Continuity of metric projection ⋮ Asymptotic behavior of solutions to nonlinear Volterra integral equations