On eigenvalues for certain classes of positive operators

被引：0

作者：

Makin, R. S. ^{[1
]}

机构：

[1] Ulyanovsk State Tech Univ, Dimitrovgrad Inst Technol Control & Design, Dimitrovgrad, Russia

来源：

MATHEMATICAL NOTES | 2009年 / 85卷 / 1-2期

关键词：

positive linear operator; totally positive operator; focusing operator; sign-regular operator; spectral gap; eigenvalue problem; LINEAR INTEGRAL OPERATORS; INEQUALITY;

D O I：

10.1134/S0001434609010234

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Spectral gaps are estimated for some classes of positive operators with a group of leading eigenvalues. Such an analysis is based on passing to associated operators and using the notion of a focusing operator. We show how to weaken the requirements on the class of operators under study, which arises, in particular, in transport theory.

引用

页码：198 / 208

页数：11

共 50 条

[1] On eigenvalues for certain classes of positive operators
R. S. Makin
Mathematical Notes, 2009, 85 : 198 - 208
[2] EIGENVALUES OF CERTAIN CLASSES OF INTEGRAL-OPERATORS
DOKTORSKII, RJ
DOKLADY AKADEMII NAUK SSSR, 1989, 307 (01): : 21 - 24
[3] A REMARK ON EIGENVALUES OF CERTAIN POSITIVE OPERATORS
GLICKSBERG, I
ISRAEL JOURNAL OF MATHEMATICS, 1969, 7 (02) : 147 - +
[4] CONVEXITY PROPERTIES OF DISTINGUISHED EIGENVALUES OF CERTAIN CLASSES OF OPERATORS
NAJMAN, B
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 111 (01) : 221 - 225
[5] ASYMPTOTIC ESTIMATES OF THE EIGENVALUES OF CERTAIN POSITIVE FREDHOLM OPERATORS
LITTLE, G
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1982, 91 (MAR) : 267 - 284
[6] ASYMPTOTIC BEHAVIOUR OF EIGENVALUES OF CERTAIN POSITIVE INTEGRAL OPERATORS
Soykan, Yueksel
GLASGOW MATHEMATICAL JOURNAL, 2009, 51 : 149 - 159
[7] EIGENVALUES OF POSITIVE INTEGRAL-OPERATORS WITH CERTAIN ENTIRE KERNELS
LITTLE, G
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1986, 99 : 535 - 545
[8] ASYMPTOTIC ESTIMATES OF THE EIGENVALUES OF CERTAIN POSITIVE FREDHOLM OPERATORS .2.
LITTLE, G
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1987, 101 : 575 - 592
[9] EXISTENCE OF MAXIMUM EIGENVALUES FOR CERTAIN OPERATORS OF POSITIVE TYPE - PRELIMINARY REPORT
GROSS, L
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (06): : 962 - &
[10] ON EIGENVALUES OF POSITIVE OPERATORS
ROTA, GC
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1961, 67 (06) : 556 - &

← 1 2 3 4 5 →