On infinite doubly substochastic matrices

Hidetoshi Komiya

Research output: Contribution to journal › Article

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 languageEnglish
Pages (from-to)119-128
Number of pages10
JournalZeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
Volume61
Issue number1
DOIs
Publication statusPublished - 1982 Mar
Externally publishedYes

Fingerprint

Infinite Matrices
Partial Order
Convex Hull
Non-negative
Converge
Necessary Conditions
Sufficient Conditions
Partial order
Convex hull

ASJC Scopus subject areas

  • Statistics and Probability
  • Analysis
  • Mathematics(all)

Cite this

On infinite doubly substochastic matrices. / Komiya, Hidetoshi.

In: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, Vol. 61, No. 1, 03.1982, p. 119-128.

Research output: Contribution to journal › Article

Komiya, H 1982, 'On infinite doubly substochastic matrices', Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol. 61, no. 1, pp. 119-128. https://doi.org/10.1007/BF00537229
Komiya H. On infinite doubly substochastic matrices. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete. 1982 Mar;61(1):119-128. https://doi.org/10.1007/BF00537229
Komiya, Hidetoshi. / On infinite doubly substochastic matrices. In: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete. 1982 ; Vol. 61, No. 1. pp. 119-128.
@article{5593e1634b0c4326b47b28f5af671ae0,
title = "On infinite doubly substochastic matrices",
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.",
author = "Hidetoshi Komiya",
year = "1982",
month = "3",
doi = "10.1007/BF00537229",
language = "English",
volume = "61",
pages = "119--128",
journal = "Probability Theory and Related Fields",
issn = "0178-8051",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - On infinite doubly substochastic matrices

AU - Komiya, Hidetoshi

PY - 1982/3

Y1 - 1982/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=34250231585&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250231585&partnerID=8YFLogxK

U2 - 10.1007/BF00537229

DO - 10.1007/BF00537229

M3 - Article

AN - SCOPUS:34250231585

VL - 61

SP - 119

EP - 128

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

SN - 0178-8051

IS - 1

ER -

Access to Document