Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


$H_{𝛿}$-embedding in Hilbert space and optimization on $G_{𝛿}$-sets

About this Title

N. Ghoussoub and B. Maurey

Publication: Memoirs of the American Mathematical Society
Publication Year: 1986; Volume 62, Number 349
ISBNs: 978-0-8218-2350-7 (print); 978-1-4704-0765-0 (online)
DOI: https://doi.org/10.1090/memo/0349
MathSciNet review: 849941
MSC: Primary 46A55; Secondary 46B22, 49A27, 90C30, 90C48

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • 0. Introduction
  • I. The extremal structure of convex $w^*$-$H_\delta$ sets
  • II. Optimization on non-convex strong $w^*$-$H_\delta$ sets
  • III. When $H_\delta$-sets are strong $H_\delta$-sets
  • IV. The representation of Radon-Nikodym sets as strong $w^*$-$H_\delta$ sets
  • V. On $w^*$-$H_\delta$ sets in function spaces
  • VI. Optimization on strong $w^*$-$G_\delta$ sets
  • VII. Applications to non-convex optimization