Results 21 to 30 of about 1,340 (86)
Proximinal subspaces of A(K) of finite codimension
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 39, Page 2501-2505, 2003., 2003 We study an analogue of Garkavi′s result on proximinal subspaces of C(X) of finite codimension in the context of the space A(K) of affine continuous functions on a compact convex set K. We give an example to show that a simple‐minded analogue of Garkavi′s result fails for these spaces.
T. S. S. R. K. Rao
wiley +1 more source
On k‐nearly uniform convex property in generalized Cesàro sequence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3599-3607, 2003., 2003 We define a generalized Cesàro sequence space ces(p), where p = (pk) is a bounded sequence of positive real numbers, and consider it equipped with the Luxemburg norm. The main purpose of this paper is to show that ces(p) is k‐nearly uniform convex (k‐NUC) for k ≥ 2 when limn→∞infpn > 1. Moreover, we also obtain that the Cesàro sequence space cesp(where
Winate Sanhan, Suthep Suantai
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DP1 and completely continuous operators
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 37, Page 2375-2378, 2003., 2003 W. Freedman introduced an alternate to the Dunford‐Pettis property, called the DP1 property, in 1997. He showed that for 1 ≤ p < ∞, (⊕α∈𝒜Xα) p has the DP1 property if and only if each Xα does. This is not the case for (⊕α∈𝒜Xα) ∞. In fact, we show that (⊕α∈𝒜Xα) ∞ has the DP1 property if and only if it has the Dunford‐Pettis property.
Elizabeth M. Bator, Dawn R. Slavens
wiley +1 more source
Geometric Description of L$_1$-Spaces [PDF]
Russian Mathematics 57 (2013) 16-21, 2013 We describe strongly facially symmetric spaces which are isometrically isomorphic to L$_1$-space.
arxiv +1 more source
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
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
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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
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
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
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