John Wiley & Sons Gateaux Differentiability of Convex Functions and Topology Cover Dieser Band behandelt schwache Asplund-Räume, die zu Zeit Beachtung in der Literatur finden. Nichtse.. Product #: 978-0-471-16822-5 Regular price: $172.90 $172.90 Auf Lager

Gateaux Differentiability of Convex Functions and Topology

Weak Asplund Spaces

Fabian, Marián J.

Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts (Band Nr. 18)

Cover

1. Auflage April 1997
180 Seiten, Hardcover
Wiley & Sons Ltd

ISBN: 978-0-471-16822-5
John Wiley & Sons

Kurzbeschreibung

Dieser Band behandelt schwache Asplund-Räume, die zu Zeit Beachtung in der Literatur finden. Nichtseparable Banachräume, Renormierung und Differenzierbarkeit werden gleichermaßen diskutiert. In bemerkenswert pädagogisch wertvoller Weise führt der Autor auch den Nicht-Fachmann in die Problematik ein.

This text puts together "folklore results" touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout the text and all subclasses, including inferences and counterexamples are discussed. It also covers Stegall's classes, fragmentability, and "long sequences" of linear projections. Notes, remarks and questions end each chapter.

Canonical Examples of Weak Asplund Spaces; Properties of Gâteaux Differentiabilty Spaces and Weak Aspuld Spaces; Stegall's Class; Two More Concrete Classes of Banach Spcaes that Lie in Fragmentability; 'Long Sequences' of Linear Projections; Vacák Spaces and Gul'ko Compacta; A Characterization of WCG Spaces and of Eberlein Compacta; Main Open Question and Problems.
Marián J. Fabian is the author of Gateaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces, published by Wiley.