Locally uniformly rotund renorming and fragmentability
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Publication:4400022
DOI10.1112/S0024611597000452zbMath0909.46011OpenAlexW2128645884MaRDI QIDQ4400022
Aníbal Moltó, Stanimir Troyanski, José Orihuela
Publication date: 8 April 1999
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0024611597000452
fragmentabilitylocally uniformly rotund renormingcountable cover by sets of small local \(P\)-diameterP-SLDproperty INRsINR-property
Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)
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Locally uniformly rotund norms ⋮ Metrization theory and the Kadec property ⋮ Renorming of $C(K)$ spaces ⋮ Average locally uniform rotundity and a class of nonlinear maps ⋮ Topological properties of the continuous function spaces on some ordered compacta ⋮ On \(\mathcal T_p\)-locally uniformly rotund norms ⋮ Locally uniformly rotund renormings of the spaces of continuous functions on Fedorchuk compacts ⋮ First Borel class sets in Banach spaces and the asymptotic-norming property ⋮ Borel properties of linear operators. ⋮ A nonlinear map for midpoint locally uniformly rotund renorming ⋮ On Gruenhage spaces, separating \(\sigma\)-isolated families, and their relatives ⋮ Dentability indices with respect to measures of non-compactness ⋮ ALUR dual renormings of Banach spaces ⋮ Fragmentability in Banach spaces: interaction of topologies ⋮ A stability property for locally uniformly rotund renorming ⋮ Sigma-fragmentability and the property SLD in \(C(K)\) spaces ⋮ On weakly locally uniformly rotund Banach spaces ⋮ Three space property for σ‐fragmentability ⋮ Some generalizations of locally uniform rotundity ⋮ On dual locally uniformly rotund norms
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