抄録
An infinite matrix is said to be doubly substochastic if it has nonnegative components and each row and each column sum is at most 1. Let x and y be two real sequences which converge to 0 or which are absolutely summable. This paper introduces necessary and sufficient conditions for existence of an infinite doubly substochastic matrix A such that x=Ay concerning partial order and convex hull for sequences.
本文言語 | English |
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ページ(範囲) | 119-128 |
ページ数 | 10 |
ジャーナル | Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete |
巻 | 61 |
号 | 1 |
DOI | |
出版ステータス | Published - 1982 3月 1 |
外部発表 | はい |
ASJC Scopus subject areas
- 分析
- 統計学および確率
- 数学 (全般)