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Titlebook: Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems; Ioana Cioranescu Book 1990 Kluwer Academic Publishers 1990 Cauchy prob

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Subdifferentiability and Duality Mappings,Our aim in this Chapter is to introduce the notion of duality mapping on a Banach space X; to this purpose we survey basic results of convex analysis and connect them with the differentiability properties of the norm on X.
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Renorming of Banach Spaces,This chapter is mainly concerned with the basic renorming theorems: the renorminy of c.(Γ) and the theorems of Lindenstrauss and Trojanski. Moreover Aspund’s averaging techinque is presented.
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Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems
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Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems978-94-009-2121-4
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