ON HERZ'S EXTENSION THEOREM

被引：0

作者：

Derighetti, Antoine ^{[1
]}

机构：

[1] Ecole Polytech Lausanne, Sect Math, CH-1015 Lausanne, Switzerland

来源：

ADVANCES IN OPERATOR THEORY | 2019年 / 4卷 / 02期

关键词：

Locally compact group; set of spectral synthesis; extension property;

D O I：

10.15352/aot.1809-1417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a self-contained proof of the following famous extension theorem due to Carl Herz. A closed subgroup H of a locally compact group G is a set of p-synthesis in G if and only if, for every u is an element of A(p)(H) boolean AND C-00(H) and for every epsilon > 0, there is v is an element of A(p)(G) boolean AND C-00(G), an extension of u, such that parallel to v parallel to A(p)(G) < parallel to u parallel to A(p)(H) + epsilon.

引用

页码：529 / 538

页数：10