ERGODIC-THEOREMS FOR SEMIGROUPS OF OPERATORS

被引：27

作者：

RUESS, WM ^{[1
]}

SUMMERS, WH ^{[1
]}

机构：

[1] UNIV ARKANSAS, DEPT MATH SCI, FAYETTEVILLE, AR 72701 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 114卷 / 02期

关键词：

SEMIGROUPS OF OPERATORS; MEAN ERGODIC THEOREM; WEAK ALMOST PERIODICITY;

D O I：

10.2307/2159664

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish crgodic theorems for Eberlein-weakly almost periodic motions and almost-orbits of semigroups of operators. The results apply to solutions of a class of (generally, nonlinear) evolution equations.

引用

页码：423 / 432

页数：10

共 36 条

[1]

Amerio L., 1971, ALMOST PERIODIC FUNC

[2]

B?nilan P., 1972, C R ACAD SCI PARIS A, V274, pA47

[3]

Baillon J.-B, 1976, COMPTES RENDUS ACAD, V283, pA75

[4]

Balakrishnan A. V., 1981, APPL MATH, V3

[5]

Barbu, 1976, NONLINEAR SEMIGROUPS

[6] Abstract periodic functions [J].

Bochner, S .

ACTA MATHEMATICA, 1933, 61 (01) :149-184

[7]

BREZIS H, 1978, NONLINEAR EVOLUTION, P141

[8]

BRUCK RE, 1978, ISRAEL J MATH, V29, P1, DOI 10.1007/BF02760397

[9] GENERATION OF SEMI-GROUPS OF NONLINEAR TRANSFORMATIONS ON GENERAL BANACH SPACES [J].

CRANDALL, MG ;

LIGGETT, TM .

AMERICAN JOURNAL OF MATHEMATICS, 1971, 93 (02) :265-&

[10] ALMOST PERIODIC FUNCTIONS ON SEMIGROUPS [J].

DELEEUW, K ;

GLICKSBERG, I .

ACTA MATHEMATICA, 1961, 105 (1-2) :99-140

← 1 2 3 4 →