Automatic continuity of dense range n-homomorphisms

被引：1

作者：

Zivari-Kazempour, Abbas ^{[1
]}

Mewomo, Oluwatosin Temitope ^{[2
]}

机构：

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

[2] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2022年 / 28卷 / 02期

关键词：

Automatic continuity; Dense range; n-homomorphism; Strongly semisimple; UNIQUENESS;

D O I：

10.1007/s40590-022-00449-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the automatic continuity of n-homomorphisms and n-Jordan homomorphisms between Banach algebras, and generalize some well-known results concerning the automatic continuity of homomorphisms and Jordan homomorphisms. In particular, we generalize a Rickart's theorem for dense range n-homomorphisms with the additional hypothesis that the Banach algebra A is unital.

引用

页数：10

共 50 条

[21] Automatic continuity of almost 3-homomorphisms and almost 3-Jordan homomorphisms
Abbas Zivari-Kazempour
Advances in Operator Theory, 2020, 5 : 1340 - 1349
[22] Automatic continuity of almost 3-homomorphisms and almost 3-Jordan homomorphisms
Zivari-Kazempour, Abbas
ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1340 - 1349
[23] Automatic continuity of biseparating homomorphisms defined between groups of continuous functions
Vicenta Ferrer, Ma
Hernandez, Salvador
Maria Rodenas, Ana
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (08) : 1395 - 1403
[24] Automatic continuity and representation of group homomorphisms defined between groups of continuous functions
Hernandez, Salvador
Rodenas, Ana Maria
TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (10) : 2089 - 2098
[25] Continuity of homomorphisms on complete metrizable topological algebras
Moorthy, C. Ganesa
Siva, G.
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 1983 - 1987
[26] Automatic Continuity of Almost n-Multiplicative Linear Functionals
Zivari-Kazempour, Abbas
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (04): : 97 - 107
[27] On continuity of measurable group representations and homomorphisms
Kuznetsova, Yulia
STUDIA MATHEMATICA, 2012, 210 (03) : 197 - 208
[28] n-Jordan homomorphisms and pseudo n-Jordan homomorphisms on Banach algebras
Ebadian, Ali
Jabbari, Ali
Kanzi, Nader
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (06)
[29] THE KERNELS AND CONTINUITY IDEALS OF HOMOMORPHISMS FORM C0 (Ω)
Le Pham, Hung
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 88 (01) : 103 - 130
[30] Automatic continuity of group operations
Solecki, S
Srivastava, SM
TOPOLOGY AND ITS APPLICATIONS, 1997, 77 (01) : 65 - 75

← 1 2 3 4 5 →