On convexity, smoothness and renormings in the study of faces of the unit ball of a Banach space.
A. Aizpuru, F. J. García-Pacheco (2004)
Extracta Mathematicae
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Displaying similar documents to “Deformation of Banach spaces”
On convexity, smoothness and renormings in the study of faces of the unit ball of a Banach space.
The geometry of -spaces over atomless measure spaces and the Daugavet property.
Sánchez Pérez, Enrique A., Werner, Dirk (2011)
Banach Journal of Mathematical Analysis [electronic only]
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A generalization of the Hahn-Banach theorem
Jolanta Plewnia (1993)
Annales Polonici Mathematici
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If C is a non-empty convex subset of a real linear space E, p: E → ℝ is a sublinear function and f:C → ℝ is concave and such that f ≤ p on C, then there exists a linear function g:E → ℝ such that g ≤ p on E and f ≤ g on C. In this result of Hirano, Komiya and Takahashi we replace the sublinearity of p by convexity.
A survey on the Szlenk index and some of its applications.
Gilles Lancien (2006)
RACSAM
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We describe how the Szlenk index has been used in various areas of the geometry of Banach spaces. We cover the following domains of application of this notion: non existence of universal spaces, linear classification of C(K) spaces, descriptive set theory, renorming problems and non linear classification of Banach spaces.
Geometric properties of Banach spaces and metric fixed point theory.
Tomás Domínguez Benavides (2002)
Extracta Mathematicae
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Some results about Banach compact algebras
B.M. Ramadisha, V.A. Babalola (2004)
Kragujevac Journal of Mathematics
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Application of Bishop-Phelps theorem in the approximation theory.
Zarghami, R. (2010)
The Journal of Nonlinear Sciences and its Applications
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On the C-farthest points.
Abdelhakim Maaden (2001)
Extracta Mathematicae
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