Results 31 to 40 of about 1,401 (73)
A really simple elementary proof of the uniform boundedness theorem
, 2010 I give a proof of the uniform boundedness theorem that is elementary (i.e. does not use any version of the Baire category theorem) and also extremely simple.Comment: LaTex2e, 5 pages. Version 2 improves the exposition by isolating the key lemma.
Sokal, Alan D.
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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
wiley +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
Nonsurjective Coarse Isometries of Uniformly Convex Banach Spaces
Journal of Function Spaces, Volume 2024, Issue 1, 2024.We apply Pisier’s inequality to establish the stability property of nonsurjective coarse isometries from a Banach space to a uniformly convex space. Making use of this result, we extend some known conclusions on (ε, p) isometries of Hilbert spaces and Lq spaces.
Yuqi Sun, Nikhil Khanna
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
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Annales Mathematicae SilesianaeThe sequence spaces ruℓ∞(𝒪, ∇q), ruℓp(𝒪, ∇q), ruc(𝒪, ∇q), ruc0(𝒪, ∇q), rumϕ(𝒪, ∇q, p), runϕ(𝒪, ∇q, p), rumϕ(𝒪, ∇q), runϕ(𝒪, ∇q) are defined by the Orlicz function in this article.
Debbarma Diksha, Tripathy Binod Chandra
doaj +1 more source
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
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A proof of uniqueness of the Gurarii space
, 2011 We present a short and elementary proof of isometric uniqueness of the Gurarii space.Comment: 6 pages, some improvements ...
A. Avilés +9 more
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