Results 31 to 40 of about 2,678 (104)
A renorming of ℓ2, rare but with the fixed‐point property
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 65, Page 4115-4129, 2003., 2003 We give an example of a renorming of ℓ2 with the fixed‐point property (FPP) for nonexpansive mappings, but which seems to fall out of the scope of all the commonly known sufficient conditions for FPP.
Antonio Jiménez-Melado +1 more
wiley +1 more source
Geometry of Banach spaces with an octahedral norm [PDF]
, 2014 We discuss the geometry of Banach spaces whose norm is octahedral or, more generally, locally or weakly octahedral.
Haller, Rainis, Langemets, Johann
core +3 more sources
On the modulus of u‐convexity of Ji Gao
Abstract and Applied Analysis, Volume 2003, Issue 1, Page 49-54, 2003., 2003 We consider the modulus of u‐convexity of a Banach space introduced by Ji Gao (1996) and we improve a sufficient condition for the fixed‐point property (FPP) given by this author. We also give a sufficient condition for normal structure in terms of the modulus of u‐convexity.
Eva María Mazcuñán-Navarro
wiley +1 more source
Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 10, Page 621-629, 2003., 2003 We study a sequence of generalized projections in a reflexive, smooth, and strictly convex Banach space. Our result shows that Mosco convergence of their ranges implies their pointwise convergence to the generalized projection onto the limit set. Moreover, using this result, we obtain strong and weak convergence of resolvents for a sequence of maximal ...
Takanori Ibaraki +2 more
wiley +1 more source
Some extremal properties of section spaces of Banach bundles and their duals
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 10, Page 563-572, 2002., 2002 When X is a compact Hausdorff space and E is a real Banach space there is a considerable literature on extremal properties of the space C(X, E) of continuous E‐valued functions on X. What happens if the Banach spaces in which the functions on X take their values vary over X?
D. A. Robbins
wiley +1 more source
Sufficient conditions for normal structure in a Banach space
Journal of the Egyptian Mathematical Society, 2013 We present two sufficient conditions for normal structure in a Banach space. The first one is given in terms of the new modulus which is a generalization of Gao’s modulus of U-convexity and the second one is given by the presence of full 2-rotundity of ...
Satit Saejung, Ji Gao
doaj +1 more source
A New Hereditarily l^2 Banach Space [PDF]
, 2009 2000 Mathematics Subject Classification: 46B20, 46B26.We construct a non-reflexive, l^2 saturated Banach space such that every non-reflexive subspace has non-separable ...
Petsoulas, Giorgos
core
Embeddings of locally finite metric spaces into Banach spaces
, 2007 We show that if X is a Banach space without cotype, then every locally finite metric space embeds metrically into X.Comment: 6 pages, to appear in Proceedings of the ...
Baudier, Florent, Lancien, Gilles
core +3 more sources
Boundedness and surjectivity in normed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 3, Page 149-165, 2002., 2002 We define the (w* ‐) boundedness property and the (w* ‐) surjectivity property for sets in normed spaces. We show that these properties are pairwise equivalent in complete normed spaces by characterizing them in terms of a category‐like property called (w* ‐) thickness. We give examples of interesting sets having or not having these properties.
Olav Nygaard
wiley +1 more source
EQUIVARIANT GEOMETRY OF BANACH SPACES AND TOPOLOGICAL GROUPS
Forum of Mathematics, Sigma, 2017 We study uniform and coarse embeddings between Banach spaces and topological groups. A particular focus is put on equivariant embeddings, that is, continuous cocycles associated to continuous affine isometric actions of topological groups on separable ...
CHRISTIAN ROSENDAL
doaj +1 more source