Overview
- author has been a central player in new developments of this area
- This book is a much needed exposition
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1993)
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Table of contents (7 chapters)
Keywords
About this book
Reviews
From the reviews:
“The book under review … is mainly focused on the author’s work on characterizations of the existence of universal elements in subclasses of separable Banach spaces … . The book collects the most important of these results into a self-contained framework that clarifies the ideas under the successive improvements between each paper and the following ones. All this makes the book a mandatory reference for anyone interested in universality in Banach spaces.” (Matias Raja, Mathematical Reviews, Issue 2011 j)
“The author uses descriptive set theory to prove results on the structure of Banach spaces. … this book may be useful for people interested in Banach space theory or/and descriptive set theory. It is very well written and contains a lot of results and techniques from these two theories, and thus may serve as a reference book.” (Daniel Li, Zentralblatt MATH, Vol. 1215, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Banach Spaces and Descriptive Set Theory: Selected Topics
Authors: Pandelis Dodos
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-642-12153-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Softcover ISBN: 978-3-642-12152-4Published: 11 May 2010
eBook ISBN: 978-3-642-12153-1Published: 15 April 2010
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 168
Topics: Discrete Mathematics, Functional Analysis, Mathematical Logic and Foundations, Combinatorics