Almost Jordan homomorphisms on Frechet algebras

被引：2

作者：

Omidi, M. R. ^{[1
]}

Oulfatian, B. ^{[1
]}

Zivari-Kazempour, A. ^{[2
]}

机构：

[1] Kermanshah Univ Technol, Dept Basic Sci, Kermanshah, Iran

[2] Ayatollah Borujerdi Univ, Dept Math, Borujerd, Iran

来源：

QUAESTIONES MATHEMATICAE | 2020年 / 43卷 / 10期

关键词：

Almost Jordan homomorphism; almost multiplicative maps; Frechet algebras; Q-algebras; automatic continuity; AUTOMATIC-CONTINUITY;

D O I：

10.2989/16073606.2019.1633438

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the notation of almost Jordan homomorphism between Frechet algebras. We show that if (A, (p(n))) is a Frechet algebra and T : A -> DOUBLE-STRUCK CAPITAL C is a almost Jordan homomorphism, then either T is homomorphism, or it is continuous. Moreover, we prove that every almost Jordan homomorphism between two commutative Frechet algebras A and B is a almost homomorphism. We also investigate automatic continuity of almost Jordan homomorphism between Frechet Q-algebras.

引用

页码：1467 / 1476

页数：10

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