Topological Properties of the Set of Norm-Attaining Linear Functionals
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Publication:4846534
DOI10.4153/CJM-1995-017-3zbMath0831.46009OpenAlexW1995021736MaRDI QIDQ4846534
Jean Saint Raymond, Gilles Godefroy, Gabriel Debs
Publication date: 18 February 1996
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-1995-017-3
locally uniformly rotundequivalent Gâteaux-smooth normGâteaux-derivativesset of norm-attaining elements of norm one
Descriptive set theory (03E15) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)
Related Items (14)
James type results for polynomials and symmetric multilinear forms ⋮ One-sided James' compactness theorem ⋮ On a problem of Namioka on norm-attaining functionals ⋮ On isometry groups and maximal symmetry ⋮ Some geometric properties of Read's space ⋮ A characterization of reflexive spaces ⋮ On smooth norms and analytic sets ⋮ James' theorem fails for starlike bodies ⋮ Compactness, Optimality, and Risk ⋮ The topological complexity of a natural class of norms on Banach spaces ⋮ Mackey constraints for James's compactness theorem and risk measures ⋮ Grothendieck spaces: the landscape and perspectives ⋮ On weakly locally uniformly rotund Banach spaces ⋮ Residuality in the set of norm attaining operators between Banach spaces
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