Volume 6, Issue 3 (Vol. 6, No. 3 2020)
mmr 2020, 6(3): 363-372 |
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Bayati Eshkaftaki A. Double-null Operators and the Investigation of Birkhoff's Theorem on Discrete lp Spaces. mmr 2020; 6 (3) :363-372
URL: http://mmr.khu.ac.ir/article-1-2734-en.html
URL: http://mmr.khu.ac.ir/article-1-2734-en.html
Shahrekord University , a.bayati@math.iut.ac.ir
Abstract: (3082 Views)
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
Type of Study: S |
Subject:
alg
Received: 2018/01/26 | Revised: 2020/12/27 | Accepted: 2019/01/14 | Published: 2020/11/30 | ePublished: 2020/11/30
Received: 2018/01/26 | Revised: 2020/12/27 | Accepted: 2019/01/14 | Published: 2020/11/30 | ePublished: 2020/11/30
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