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Packing of spheres in lp†

Published online by Cambridge University Press:  18 May 2009

E. Spence
E. Spence
Affiliation:
University of Glasgow, Glasgow, W.2.
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The Banach space lp(p≥1) is the space of all infinite sequences x = (x1, x2, x3, …) of real or complex numbers such that is convergent, with the norm defined by

The unit sphere S of lp is the set of all points x ∈ lp with ∥x∥ ≤ 1 and the sphere of radius a ≥ 0 centred at y ∈ lp is denoted by Sa(y), so that

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 11 , Issue 1 , January 1970 , pp. 72 - 80
Copyright
Copyright © Glasgow Mathematical Journal Trust 1970

References

REFERENCES

1.Burlak, Jane A. C., Rankin, R. A. and Robertson, A. P., The packing of spheres in the space lp, Proc. Glasgow Math. Assoc. 4 (1958), 22–25.CrossRefGoogle Scholar
2.Rankin, R. A., On sums of powers of linear forms I, Ann. of Math. 50 (1949), 691–698.CrossRefGoogle Scholar
3.Rankin, R. A., On sums of powers of linear forms II, Ann. of Math. 50 (1949), 699–704.CrossRefGoogle Scholar