Results 1 to 10 of about 343 (42)
Some strongly bounded classes of Banach spaces [PDF]
, 2006 We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th.
Dodos, Pandelis, Ferenczi, Valentin
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On Fixed Point Property under Lipschitz and Uniform Embeddings
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 We first present a generalization of ω⁎‐Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has the fixed point property for isometries if it Lipschitz embeds into a super reflexive space. With the
Jichao Zhang +3 more
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Quotients of continuous convex functions on nonreflexive Banach spaces [PDF]
, 2007 On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and
Holicky, P. +3 more
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Corrigendum to “On Fixed Point Property under Lipschitz and Uniform Embeddings”
, 2019 Journal of Function Spaces, Volume 2019, Issue 1, 2019.
Jichao Zhang, Lingxin Bao, Lili Su
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The class of Banach lattices is not primary
Forum of Mathematics, SigmaBuilding on a recent construction of Plebanek and Salguero-Alarcón, which solved the Complemented Subspace Problem for $C(K)$ -spaces, and the subsequent work of De Hevia, Martínez-Cervantes, Salguero-Alarcón, and Tradacete solving the Complemented
Antonio Acuaviva
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Some geometric properties of Read's space
, 2017 We study geometric properties of the Banach space $\mathcal{R}$ constructed recently by C.~Read (arXiv 1307.7958) which does not contain proximinal subspaces of finite codimension greater than or equal to two.
Kadets, Vladimir +2 more
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Hyperbolic Metric Spaces and Stochastic Embeddings
Forum of Mathematics, SigmaStochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
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Geometrical characterization of semilinear isomorphisms of vector spaces and semilinear homeomorphisms of normed spaces [PDF]
, 2013 Let $V$ and $V'$ be vector spaces over division rings (possible infinite-dimensional) and let ${\mathcal P}(V)$ and ${\mathcal P}(V')$ be the associated projective spaces.
Pankov, Mark
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Smooth and polyhedral approximation in Banach spaces
, 2015 We show that norms on certain Banach spaces $X$ can be approximated uniformly, and with arbitrary precision, on bounded subsets of $X$ by $C^{\infty}$ smooth norms and polyhedral norms.
Bible, Victor, Smith, Richard J.
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Weakly Compact Generating and Shrinking Markusevic Bases [PDF]
, 2006 2000 Mathematics Subject Classification: 46B30, 46B03.It is shown that most of the well known classes of nonseparable Banach spaces related to the weakly compact generating can be characterized by elementary properties of the closure of the coefficient ...
Fabian, M. +3 more
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