A NEW APPROACH TO FROBENIUS PERRON OPERATORS

被引：12

作者：

DING, J

HORNOR, WE

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 187卷 / 03期

关键词：

D O I：

10.1006/jmaa.1994.1405

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new approach to the Frobenius-Perron operator P(S):L1(X) --> L1(X) associated with a non-singular transformation S: X --> X on a sigma-finite measure space X is presented with the help of the concept of conditional expectation. Some fundamental properties of P(S) are obtained. (C) 1994 Academic Press, Inc.

引用

页码：1047 / 1058

页数：12

共 12 条

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[2] Chatelin F., 1983, SPECTRAL APPROXIMATI
[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
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[6] EXISTENCE OF INVARIANT MEASURES FOR PIECEWISE MONOTONIC TRANSFORMATIONS
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YORKE, JA
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 186 (459) : 481 - 488
[7] Lasota A., 1985, PROBABILISTIC PROPER
[8] ERGODIC TRANSFORMATIONS FROM AN INTERVAL INTO ITSELF
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YORKE, JA
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[9] Rao M.M., 1987, MEASURE THEORY INTEG
[10] Royden H. L., 1963, REAL ANAL

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