Proceedings of the Centre for Mathematics and its Applications

Spaces of large dimension: some counter-intuitive results

V. D. Milman

Full-text: Open access

Abstract

In recent years we have seen the important development in functional analysis of the study called "geometric analysis" which concerns asymptotic properties of sets in finite dimensional spaces where the dimension increases to infinity. The significance of this development is illustrated in four example areas where the author has been a contributor.

Article information

Source
Workshop/Miniconference on Functional Analysis and Optimization. Simon Fitzpatrick and John Giles, eds. Proceedings of the Centre for Mathematical Analysis, v. 20. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1988), 141-152

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416340110

Mathematical Reviews number (MathSciNet)
MR1009601

Zentralblatt MATH identifier
0687.46008

Citation

Milman, V. D. Spaces of large dimension: some counter-intuitive results. Workshop/Miniconference on Functional Analysis and Optimization, 141--152, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1988. https://projecteuclid.org/euclid.pcma/1416340110


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