Invariant measures for equicontinuous semigroups of continuous transformations of a compact Hausdorff space

被引：3

作者：

Niemiec, Piotr ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland

来源：

TOPOLOGY AND ITS APPLICATIONS | 2006年 / 153卷 / 18期

关键词：

Haar measure; groups of transformations; compact semigroups;

D O I：

10.1016/j.topol.2006.01.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Equicontinuous semigroups of transformations of a compact Hausdorff space and their sets of all invariant (Hotel, regular and probabilistic) measures are studied. Conditions equivalent to the existence of at least one invariant measure are given. The (algebraic and topological) structure of the set of invariant measures is researched. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：3373 / 3382

页数：10

共 8 条

[1]

[Anonymous], COMPOS MATH

[2]

Engelking R., 1977, General Topology

[3]

HOGNAS G, 1995, PROBABILITY MEASURES

[4]

Kakutani S., 1938, Proc. Imp. Acad. Tokyo, V14, P242

[5]

Lindenbaum A., 1926, FUND MATH, V8, P209

[6] HAAR MEASURE IN LOCALLY COMPACT T2 SPACES [J].

STEINLAGE, RC .

AMERICAN JOURNAL OF MATHEMATICS, 1975, 97 (02) :291-307

[7]

Varadarajan V. S., 1963, T AM MATH SOC, V109, P191, DOI 10.1090/S0002-9947-1963-0159923-5

[8]

ZAKRZEWSKI P, 2002, HDB MEASURE THEORY, P1091

← 1 →