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

页码：549 / 561

页数：13

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