Positive linear relation and application to domination problem.

被引：0

作者：

Ayadi, Mohamed ^{[1
,2
]}

Baklouti, Hamadi ^{[2
]}

机构：

[1] Majmaah Univ, Coll Sci Al Zulfi, POB 66, Majmaah 11952, Saudi Arabia

[2] Sfax Univ, Fac Sci Sfax, Sfax, Tunisia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 19期

关键词：

Linear relation; positive operator; Riesz space; Banach lattice; PERTURBATION;

D O I：

10.1080/03081087.2020.1854166

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we prove that positive multi-valued operators on Riesz spaces which are everywhere defined are always continuous. Further, we prove that the sum of two positive relations having the same null part is itself positive. This result allows us to study the domination problem in the class of positive relations.

引用

页码：3780 / 3789

页数：10

共 50 条

[1] The relation of the symmetric and linear groups and the multibody problem.
Jordan, P.
ZEITSCHRIFT FUR PHYSIK, 1935, 94 (7-8): : 531 - 535
[2] ON A LINEAR OBJECT OBSERVATION PROBLEM.
Pshenichnyi, B.N.
Pokotilo, V.G.
1600, (46):
[3] Steenrod problem and the domination relation
Lafont, Jean-Francois
Neofytidis, Christoforos
TOPOLOGY AND ITS APPLICATIONS, 2019, 255 : 32 - 40
[4] The situation in Panama with relation to the hookworm problem.
Cort, WW
Schapiro, L
AMERICAN JOURNAL OF HYGIENE-MONOGRAPHIC SERIES, 1929, 9 : 1 - 29
[5] LINEAR SPACE ALGORITHM FOR THE LCS PROBLEM.
Kumar, S.Kiran
Rangan, C.Pandu
Acta Informatica, 1987, 24 (03) : 253 - 362
[6] ORDER STATISTICS AND THE LINEAR ASSIGNMENT PROBLEM.
Frenk, J.B.G.
van Houweninge, M.
Rinnooy Ken, A.H.G.
Computing (Vienna/New York), 1987, 39 (02): : 165 - 174
[7] APPLICATION OF PARTIAL CORRELATION TO A HEALTH PROBLEM.
Phillips, Frank M.
Roberts, Faye Hollis
PUBLIC HEALTH REPORTS, 1923, 38 (37) : 2117 - 2129
[8] A linear solution of the four-dimensionality problem.
Trifonov, V
EUROPHYSICS LETTERS, 1995, 32 (08): : 621 - 626
[9] Relation of the medical profession in the twentieth century to the tuberculosis problem.
Knopf, SA
JOURNAL OF THE AMERICAN MEDICAL ASSOCIATION, 1901, 36 : 1679 - 1683
[10] Morse theory and multiple positive solutions to a Neumann problem.
Lazzo, M
ANNALI DI MATEMATICA PURA ED APPLICATA, 1995, 168 : 205 - 217

← 1 2 3 4 5 →