A Counterexample to Several Questions about Scattered Compact Spaces
From MaRDI portal
Publication:5201766
DOI10.1112/blms/22.3.261zbMath0725.46007OpenAlexW2084213989WikidataQ61535181 ScholiaQ61535181MaRDI QIDQ5201766
Publication date: 1990
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/blms/22.3.261
Baire spaceequivalent normsNamioka propertycompact scattered spacestrictly convex renormingsGateaux differentiable renorming
Compactness (54D30) Geometry and structure of normed linear spaces (46B20) Isomorphic theory (including renorming) of Banach spaces (46B03)
Related Items
Smooth approximation of convex functions in Banach spaces, Stability of subdifferentials of nonconvex functions in Banach spaces, Smooth variational principles in Radon-Nikodým spaces, On some generalizations of denting points, ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES, Some characterizations of \(k\)-strictly convex and \(k\)-smooth Banach spaces, Smoothness and the asymptotic-norming properties of Banach spaces, Note on Kadets Klee property and Asplund spaces, Smooth bump functions and geomentry of Banach spaces, Higher order Gateaux smooth bump functions on Banach spaces, Countable unions of compact spaces with the Namioka property, A quasi-closure preserving sum theorem about the Namioka property, On the weak\(^*\) Mazur intersection property and Fréchet differentiable norms on dense open sets, Baire trees, bad norms and the Namioka property, σ‐fragmentable Banach spaces, The three space problem for smooth partitions of unity and \(C(K)\) spaces, Lineability, differentiable functions and special derivatives, Restricted weak upper semi-continuity of subdifferentials of convex functions on Banach spaces, Smooth Banach spaces, weak Asplund spaces and monotone or usco mappings, The validity of the ``\(\liminf\) formula and a characterization of Asplund spaces, Renorming Banach spaces with the Mazur intersection property, The failure of Rolle's theorem in infinite-dimensional Banach spaces, Renormings of \(C(K)\) spaces, Smooth Approximations in Banach Spaces, On Upper Semicontinuity of Duality Mappings, On hereditarily Baire spaces, \(\sigma\)-fragmentability of mappings and Namioka property, Mappings of Baire spaces into function spaces and Kadeč renorming, Thin-very tall compact scattered spaces which are hereditarily separable, Structural implications of norms with Hölder right-hand derivatives., A generalization of Ekeland's \(\varepsilon\)-variational principle and its Borwein-Preiss smooth variant, Some observations on \(C_p\)-theory and bibliography, Special issue on \(C_p(X)\)-theory, Trees, Gâteaux norms and a problem of Haydon, Compactness conditions and strong subdifferentiability of a norm in geometry of Banach spaces, Dentability indices and locally uniformly convex renormings, Smooth bump functions and the geometry of Banach spaces. A brief survey
