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A theorem of Hardy, Littlewood and Pólya and some related results for infinite vectors

Published online by Cambridge University Press:  24 October 2008

Hazel Perfect
Hazel Perfect
Affiliation:
University of Sheffield
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Extract

We recall that a square matrix (finite or infinite) with non-negative elements and with each row-sum and column-sum equal to 1 is called doubly-stochastic (d.s.). If each row-sum and column-sum of a non-negative square matrix is less than or equal to 1, the matrix is called doubly-substochastic (d.s.s.).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 63 , Issue 4 , October 1967 , pp. 1125 - 1134
Copyright
Copyright © Cambridge Philosophical Society 1967

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References

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