Pandelis dodos (7 Ergebnisse)

Zustand: New. In English.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC We will consider quite classical properties of Banach spaces, such as '- ing re exive,' 'having separable dual,' 'not containing an isomorphic copy of c ,' 'being non-universal,' etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is 'simple.' The 'simplicity' ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural 'coding' of separable Banach spaces, then we can indeed nd a separable space Y which is universal for the class C and satis es the requirements imposed above. …

Taschenbuch. Zustand: Neu. Banach Spaces and Descriptive Set Theory: Selected Topics | Pandelis Dodos | Taschenbuch | xii | Englisch | 2010 | Springer | EAN 9783642121524 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

HRD. Zustand: New. New Book. Shipped from UK. Established seller since 2000.

Gebunden. Zustand: New. This book is devoted to one of the most important areas of Ramsey theory-the Ramsey theory of product spaces. It is a culmination of a series of recent breakthroughs by the two authors and their students who were able to lift this theory to the infinite-dim.

Zustand: New. In English.

Buch. Zustand: Neu. Neuware - This book is devoted to one of the most important areas of Ramsey theory-the Ramsey theory of product spaces. It is a culmination of a series of recent breakthroughs by the two authors and their students who were able to lift this theory to the infinite-dimensional case. The book presents major results and methods in the area, such as Szemeredi's regularity method and the hypergraph removal lemma.…