The Frobenius-Perron operator as a product of two operators

被引：2

作者：

Ding, J

机构：

[1] Department of Mathematics, University of Southern Mississippi, Hattiesburg

来源：

APPLIED MATHEMATICS LETTERS | 1996年 / 9卷 / 03期

关键词：

Frobenius-Perron operator; conditional expectation;

D O I：

10.1016/0893-9659(96)00033-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Frobenius-Perron operator P-S : L(1)(X) --> L(1)(X) associated with a nonsingular transformation S : X --> X on a a-finite measure space X is the product of an isometry and a weak contraction.

引用

页码：63 / 65

页数：3

共 7 条

[1] A NEW APPROACH TO FROBENIUS PERRON OPERATORS
DING, J
HORNOR, WE
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 187 (03) : 1047 - 1058
[2] THE SPECTRAL-ANALYSIS OF FROBENIUS-PERRON OPERATORS
DING, J
DU, Q
LI, TY
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (02) : 285 - 301
[3] A CLOSED RANGE THEOREM FOR THE FROBENIUS-PERRON OPERATOR AND ITS APPLICATION TO THE SPECTRAL-ANALYSIS
DING, J
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (01) : 156 - 167
[4] Dunford N., 1958, LINEAR OPERATORS
[5] LAOSTA A, 1994, CHAOS FRACTAL NOISE
[6] Rao M., 1987, MEASURE THEORY INTEG
[7] Royden H.L., 1963, Real Analysis

← 1 →