Double-null Operators and the Investigation of Birkhoff's Theorem on Discrete lp Spaces

Author
Shahrekord University
Abstract
Doubly stochastic matrices play a fundamental role in the theory of majorization. Birkhoff's theorem explains the relation between $ntimes n$ doubly stochastic matrices and permutations. In this paper, we first introduce double-null operators and we will find some important properties of them. Then with the help of double-null operators, we investigate Birkhoff's theorem for descreate $l^p$ spaces../files/site1/files/63/4.pdf
Keywords

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