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About this book
As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. More recent applications of high-dimensionality are manifested by contributions in Random Matrix Theory, Concentration of Measure and Empirical Processes. Naturally, the Gaussian measure plays a central role in many of these topics, and is also studied in this volume; in particular, the recent breakthrough proof of the Gaussian Correlation Conjecture is revisited. The interplay of the theory with Harmonic and Spectral Analysis is also well apparent in several contributions. The classical relation to both the primal and dual Brunn-Minkowski theories is also well represented, and related algebraic structures pertaining to valuations and valent functions are discussed. All contributions are original research papers and were subject to the usual refereeing standards.
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Table of contents (22 chapters)
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Front Matter
Reviews
Editors and Affiliations
About the editors
Bibliographic Information
Book Title: Geometric Aspects of Functional Analysis
Book Subtitle: Israel Seminar (GAFA) 2014–2016
Editors: Bo'az Klartag, Emanuel Milman
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-45282-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-45281-4Published: 19 April 2017
eBook ISBN: 978-3-319-45282-1Published: 17 April 2017
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 366
Number of Illustrations: 2 b/w illustrations
Topics: Functional Analysis, Convex and Discrete Geometry, Probability Theory and Stochastic Processes