Disjointness preserving maps between vector-valued group algebras

被引：0
|
作者：
Hosseini, Maliheh [1 ]
Font, Juan J. [2 ]
机构：
[1] KN Toosi Univ Technol, Fac Math, Tehran 163151618, Iran
[2] Univ Jaume 1, Dept Matemat IMAC, Campus Riu Sec, Ap Castellon 8029, Spain
来源：
AEQUATIONES MATHEMATICAE | 2018年 / 92卷 / 03期
关键词：
Locally compact abelian group; Vector-valued group algebras; Disjointness preserving mappings; SEPARATING MAPS; OPERATORS; SPACES;
D O I：
10.1007/s00010-018-0547-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be a locally compact abelian group and B be a commutative Banach algebra. Let be the Banach algebra of B-valued Bochner integrable functions on G. In this paper we provide a complete description of continuous disjointness preserving maps on -algebras based on a scarcely used tool: the vector-valued Fourier transform. We also present necessary and sufficient conditions for these operators to be compact.
引用
收藏
页码：549 / 561
页数：13
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