Some Topological and Geometrical Structures in Banach Spaces PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Some Topological and Geometrical Structures in Banach Spaces PDF full book. Access full book title Some Topological and Geometrical Structures in Banach Spaces by Nassif Ghoussoub. Download full books in PDF and EPUB format.

Some Topological and Geometrical Structures in Banach Spaces

Some Topological and Geometrical Structures in Banach Spaces PDF Author: Nassif Ghoussoub
Publisher: American Mathematical Soc.
ISBN: 0821824414
Category : Banach spaces
Languages : en
Pages : 123

Get Book Here

Book Description
In this memoir, we study the interrelations between the topological, measure theoretical and geometrical structures in certain classes of Banach spaces. The focus is on those spaces whose bounded subsets have arbitrarily norm-small convex combinations of slices. This class contains spaces with the Radon-Nikodym property as well as B-convex Banach spaces. The topological analysis leads to the concept of "first class functions around sets". This extension of the classical notion of Baire-1 functions is developed in a general non-linear setting.