Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 119-128 |
| Number of pages | 10 |
| Journal | Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete |
| Volume | 61 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1982 Mar 1 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Mathematics(all)