### 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 |
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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)