Skip to Main Content


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


Fractional dimensions and bounded fractional forms

About this Title

Ron C. Blei

Publication: Memoirs of the American Mathematical Society
Publication Year: 1985; Volume 57, Number 331
ISBNs: 978-0-8218-2332-3 (print); 978-1-4704-0744-5 (online)
DOI: https://doi.org/10.1090/memo/0331
MathSciNet review: 804208
MSC: Primary 26D15; Secondary 28A35, 43A46

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • 0. Introduction
  • 1. Fréchet’s bounded bilinear functionals and Littlewood’s bounded bilinear forms
  • 2. Combinatorial dimension and fractional Cartesian products
  • 3. Combinatorial dimension and bounded fractional forms
  • 4. Fréchet pseudomeasures
  • 5. Dimension of sets and the variations of $\mathcal {F}_{J/K}$-pseudomeasures