Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-15T03:37:36.024Z Has data issue: false hasContentIssue false
  • English
  • Français

On Packings of Spheres in Hilbert Space

Published online by Cambridge University Press:  18 May 2009

R. A. Rankin
R. A. Rankin
Affiliation:
The University Glasgow
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A point x in real Hilbert space is represented by an infinite sequence (x1, x2, x3, …) of real numbers such that

is convergent. The unit “sphere“ S consists of all points × for which ‖x‖ ≤ 1. The sphere of radius a and centre y is denoted by Sa(y) and consists of all points × for which ‖x−y‖ ≤ a.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 2 , Issue 3 , July 1955 , pp. 145 - 146
Copyright
Copyright © Glasgow Mathematical Journal Trust 1955

References

REFERENCES

(1)Rankin, R. A., The closest packing of spherical caps in n dimensions, Proc. Glasgow Math. Assoc. 2(1955), 139–144.CrossRefGoogle Scholar