Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2014–2016

  • Bo'az Klartag
  • Emanuel Milman

Part of the Lecture Notes in Mathematics book series (LNM, volume 2169)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Limor Ben-Efraim, Vitali Milman, Alexander Segal
    Pages 15-23
  3. Andrea Colesanti, Nico Lombardi
    Pages 71-105
  4. Omer Friedland, Yosef Yomdin
    Pages 123-136
  5. Efim D. Gluskin, Yaron Ostrover
    Pages 137-149
  6. Olivier Guédon, Aicke Hinrichs, Alexander E. Litvak, Joscha Prochno
    Pages 151-162
  7. Bo’az Klartag
    Pages 187-211
  8. Alexander Koldobsky, Alain Pajor
    Pages 213-220
  9. Hermann König, Vitali Milman
    Pages 235-264
  10. Rafał Latała, Dariusz Matlak
    Pages 265-275
  11. Christopher Liaw, Abbas Mehrabian, Yaniv Plan, Roman Vershynin
    Pages 277-299

About this book

Introduction

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.

Keywords

80M35, 26A51, 32-XX, 46-XX, 60-XX Asymptotic Geometric Analysis Functional Analysis Spectral Analysis Geometric Probability Convex Geometry

Editors and affiliations

  • Bo'az Klartag
    • 1
  • Emanuel Milman
    • 2
  1. 1.School of Mathematical SciencesTel Aviv UniversityTel-AvivIsrael
  2. 2.Mathematics DepartmentTechnion - Israel Institute of TechnologyHaifaIsrael

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-45282-1
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-45281-4
  • Online ISBN 978-3-319-45282-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book