Frechet algebras, formal power series, and automatic continuity

被引：4

作者：

Patel, S. R. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

STUDIA MATHEMATICA | 2008年 / 187卷 / 02期

关键词：

Frechet algebra of power series; Arens-Michael representation; Loy's condition (E); automatic continuity;

D O I：

10.4064/sm187-2-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe all those commutative Frechet algebras which may be continuously embedded in the algebra C[[X]] in such a way that they contain the polynomials. It is shown that these algebras (except C[[X]] itself) always satisfy a certain equicontinuity condition due to Loy. Using this result, some applications to the theory of automatic continuity are given; in particular, the uniqueness of the Frechet algebra topology for such algebras is established.

引用

页码：125 / 136

页数：12

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