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Listar por autor "Zizler, Vaclav"

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Listar por autor "Zizler, Vaclav"

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    A note on extreme points of $C^\infty$-smooth balls in polyhedral spaces 
    Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (American Mathematical Society, 2015)
    [EN] Morris (1983) proved that every separable Banach space $X$ that contains an isomorphic copy of $c_0$ has an equivalent strictly convex norm such that all points of its unit sphere $S_X$ are unpreserved extreme, i.e., ...
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    A note on Mackey topologies on Banach spaces 
    Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (Elsevier, 2017)
    [EN] There is a maybe unexpected connection between three apparently unrelated notions concerning a given w*-dense subspace Y of the dual X* of a Banach space X: (i) The norming character of Y, (ii) the fact that (Y, w*) ...
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    Geometry and Gâteaux smoothness in separable Banach spaces 
    Hajek, P.; Montesinos Santalucia, Vicente; Zizler, Vaclav (2012-06)
    [EN] It is a classical fact, due to Day, that every separable Banach space admits an equivalent Gateaux smooth renorming. In fact, it admits an equivalent uniformly Gateaux smooth norm, as was shown later by Day, James, ...
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    On a classical renorming construction of V. Klee 
    Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (Elsevier, 2012-01-01)
    We further develop a classical geometric construction of V. Klee and show, typically, that if X is a nonreflexive Banach space with separable dual, then X admits an equivalent norm vertical bar . vertical bar which is ...
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    Remarks on the set of norm-attaining functionals and differentiability 
    Guirao Sánchez, Antonio José; Montesinos Santalucia, Vicente; Zizler, Vaclav (Institute of Mathematics, Polish Academy of Sciences, 2018)
    [EN] We use the smooth variational principle and a standard renorming to give a short direct proof of the classical Bishop-Phelps-Bollobas theorem on the density of norm-attaining functionals for weakly compactly generated ...