DOMINATION AND ERGODICITY FOR POSITIVE SEMIGROUPS

被引：22

作者：

ARENDT, W ^{[1
]}

BATTY, CJK ^{[1
]}

机构：

[1] UNIV OXFORD ST JOHNS COLL,OXFORD OX1 3JP,ENGLAND

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 03期

关键词：

D O I：

10.2307/2159399

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we study the conditions under which ergodicity is preserved by domination. As an application, the criterion for almost periodicity given by Ljubich-Phong [9] (see also Batty-Phong [4]) can be simplified for positive semigroups.

引用

页码：743 / 747

页数：5

共 10 条

[1]

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[2] TAUBERIAN-THEOREMS AND STABILITY OF ONE-PARAMETER SEMIGROUPS [J].

ARENDT, W ;

BATTY, CJK .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 306 (02) :837-852

[3]

ARENDT W, IN PRESS SIAM J MATH

[4] POSITIVE ONE-PARAMETER SEMIGROUPS ON ORDERED BANACH-SPACES [J].

BATTY, CJK ;

ROBINSON, DW .

ACTA APPLICANDAE MATHEMATICAE, 1984, 2 (3-4) :221-296

[5]

BATTY CJK, IN PRESS T AM MATH S

[6]

Derndinger R., 1987, ERGODIC THEORY PERSP

[7]

Krengel U., 1985, ERGODIC THEOREMS

[8]

LJUBICH YI, 1987, TEOR FUNKTSII FUNKTS, V47, P36

[9]

NAGEL R, 1986, LECTURE NOTES MATH, V1184

[10]

[No title captured]

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