Extreme Points in Spaces of Continuous Functions
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Publication:4844417
DOI10.2307/2160702zbMath0832.46030OpenAlexW4253762208MaRDI QIDQ4844417
Juan Carlos Navarro-Pascual, Juan Francisco Mena Jurado, Vladimir I. Bogachev
Publication date: 21 August 1995
Full work available at URL: https://doi.org/10.2307/2160702
extreme pointsconvex hull\(\lambda\)-propertyspace of continuous and bounded functions from a topological space into a strictly convex Banach space
Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15)
Related Items (13)
Norm or numerical radius attaining polynomials on \(C(K\)) ⋮ Complex extremal structure in spaces of continuous functions ⋮ Extreme points and retractions in Banach spaces ⋮ The Mazur-Ulam property in \(\ell_\infty\)-sum and \(c_0\)-sum of strictly convex Banach spaces ⋮ Means of extreme points and \(F\)-spaces ⋮ VECTOR SUBSPACES OF THE SET OF NON-NORM-ATTAINING FUNCTIONALS ⋮ A two-dimensional inequality and uniformly continuous retractions ⋮ The Schreier space does not have the uniform 𝜆-property ⋮ Boundaries for spaces of holomorphic functions on \({\mathcal C}(K)\) ⋮ The Mazur-Ulam property on Banach spaces of vector-valued continuous functions ⋮ On the geometry of higher order Schreier spaces ⋮ On the Mazur-Ulam property for the space of Hilbert-space-valued continuous functions ⋮ Approximation by extreme functions
Cites Work
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- A geometric function determined by extreme points of the unit ball of a normed space
- Extreme points and dimension theory
- An extension of Tietze's theorem
- A Superreflexive Banach Space Which Does Not Admit Complex Structure
- A Sequentially Convex Hull
- Rotundity, the C.S.R.P., and the λ-Property in Banach Spaces
- A Topological Approach to Extreme Points in Function Spaces
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