Characterization of the duals of lattices of continuous functions with respect to disjointness preserving groups

被引：0

作者：

Biyanov, AY ^{[1
]}

机构：

[1] CALTECH,PASADENA,CA 91125

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 09期

关键词：

C-0-group; disjointness preserving operator; group dual; flow; cocycle;

D O I：

10.1090/S0002-9939-97-03064-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The duals of C-0(a, b) and C(a,b) with respect to disjointness preserving groups are characterized. A. Plessner's result (1929) about the translation group is extended. A Wiener-Young type theorem for disjointness preserving groups is obtained.

引用

页码：2571 / 2579

页数：9

共 3 条

[1] On the modulus of disjointness preserving operators on complex vector lattices
Fethi Ben Amor
Karim Boulabiar
algebra universalis, 2005, 54 : 185 - 193
[2] On the modulus of disjointness preserving operators on complex vector lattices
Amor, FB
Boulabiar, K
ALGEBRA UNIVERSALIS, 2005, 54 (02) : 185 - 193
[3] DISJOINTNESS-PRESERVING ORTHOGONALLY ADDITIVE OPERATORS IN VECTOR LATTICES
Abasov, Nariman
Pliev, Marat
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 12 (03): : 730 - 750

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