Geometry of Banach spaces with \((\alpha,\epsilon)\)-property or \((\beta,\epsilon)\)-property

DOI10.1216/rmjm/1181071959zbMath0896.46009OpenAlexW1974789126MaRDI QIDQ1364283

José Pedro Moreno

Publication date: 6 October 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-1/CONT27-1/CONT27-1.html

zbMATH Keywords

Fréchet differentiabilityproperty \(\beta\)denting pointrenormedpoints of local uniform rotundityproperty \(\alpha\)structure of the unit spherevertex points

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items

Numerical index and renorming ⋮ The Bishop-Phelps-Bollobás property for operators from \(c_{0}\) into some Banach spaces ⋮ Numerical radius attaining compact linear operators ⋮ On the weak\(^*\) Mazur intersection property and Fréchet differentiable norms on dense open sets ⋮ The universal renorming ⋮ On strongly norm attaining Lipschitz maps ⋮ Some generalizations of locally uniform rotundity ⋮ Unnamed Item ⋮ The version for compact operators of Lindenstrauss properties A and B

Cites Work

• Norm attaining operators and renormings of Banach spaces
• On the weak\(^*\) Mazur intersection property and Fréchet differentiable norms on dense open sets
• On operators which attain their norm
• Equivalent norms on separable Asplund spaces
• Norm attaining operators
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