9781848821897 - Geometric Properties of Banach Spaces and Nonlinear Iterations (Lecture Notes in Mathematics, Band 1965) von Chidume, Charles (5 Ergebnisse)

Zustand: Good. Volume 1965. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9781848821897.

Zustand: New. In.

Paperback. Zustand: Brand New. 1st edition. 326 pages. 9.20x6.00x0.80 inches. In Stock.

Taschenbuch. Zustand: Neu. Geometric Properties of Banach Spaces and Nonlinear Iterations | Charles Chidume | Taschenbuch | Lecture Notes in Mathematics | xvii | Englisch | 2009 | Springer | EAN 9781848821897 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , ( ) 2 2 2 2 || x+(1 )y|| = ||x|| +(1 )||y|| (1 )||x y|| , ( ) which hold for all x,y H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, '. many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces'. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities ( ) and ( ) have to be developed.