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
收藏
页码：1467 / 1476
页数：10
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