A short note about exposed points in real Banach spaces

DOI10.1016/S0252-9602(08)60080-6zbMath1199.46037OpenAlexW1968058332MaRDI QIDQ1032823

Antonio Aizpuru, Francisco Javier García-Pacheco

Publication date: 11 November 2009

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(08)60080-6

zbMATH Keywords

rotund pointsmooth pointexposed faceexposed point

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07)

Related Items (13)

Revisiting the minimum-norm problem ⋮ On the frame of the unit ball of Banach spaces ⋮ Lineability of the set of supporting vectors ⋮ A reverse theorem on the \(||\cdot||-w^{\ast}\) continuity of the dual map ⋮ On minimal exposed faces ⋮ On exposed faces and smoothness ⋮ Supporting vectors for the \(\ell_1\)-norm and the \(\ell_{\infty }\)-norm and an application ⋮ Geometry of isometric reflection vectors ⋮ Cardinality of \(\Lambda\) determines the geometry of \(B_{\ell_\infty}(\Lambda)\) and \(B_{\ell_\infty}(\Lambda)^\ast\) ⋮ General methods of convergence and summability ⋮ Renormings concerning exposed points and non-smoothness ⋮ On the structure of positive maps: Finite-dimensional case ⋮ Supporting vectors for the ℓ_p-norm

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