On automatic continuity of 3-homomorphisms on Banach algebras

被引：0

作者：

Bracic, Janko ^{[1
]}

Moslehian, Mohammad Sal ^{[2
,3
,4
]}

机构：

[1] Univ Ljubljana, Dept Math, Ljubljana 1111, Slovenia

[2] Ferdowsi Univ Mashhad, Dept Math, Mashhad 91775, Iran

[3] Ferdowsi Univ Mashhad, CEAAS, Mashhad 91775, Iran

[4] BMRG, Mashhad, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2007年 / 30卷 / 02期

关键词：

3-homomorphism; homomorphism; continuity; Banach algebra; bounded approximate identity; second dual; Arens regularity; C*-algebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A linear map phi : A -> B between (Banach) algebras is called 3-homomorphism if phi(abc) = phi(a)phi(b)phi(c) for each a, b, c is an element of A. We investigate 3-homomorphisms on Banach algebras with bounded approximate identities and establish in two ways (for unital and non-unital cases) that every involution preserving homomorphism between C*-algebras is norm decreasing.

引用

页码：195 / 200

页数：6

共 50 条

[31] CONTINUITY OF HOMOMORPHISMS OF ALGEBRAS OF OPERATORS
JOHNSON, BE
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1967, 42 (167P): : 537 - &
[32] CONTINUITY OF HOMOMORPHISMS OF TOPOLOGICAL ALGEBRAS
JOHNSON, BE
[J]. PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1964, 60 (01): : 171 - &
[33] A CHARACTERISATION OF 3-JORDAN HOMOMORPHISMS ON BANACH ALGEBRAS
Zivari-Kazempour, A.
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 93 (02) : 301 - 306
[34] Automatic continuity for Banach algebras with finite-dimensional radical
Pham, Hung Le
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 81 : 279 - 295
[35] AUTOMATIC CONTINUITY OF GROUP HOMOMORPHISMS
Rosendal, Christian
[J]. BULLETIN OF SYMBOLIC LOGIC, 2009, 15 (02) : 184 - 214
[36] Automatic continuity of homomorphisms and derivations on algebras of continuous vector-valued functions
Kantrowitz, R
Neumann, MM
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 1995, 45 (04) : 747 - 756
[37] A characterization of homomorphisms between Banach algebras
Cui, JL
Hou, JC
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2004, 20 (04) : 761 - 768
[38] Continuous *-homomorphisms of Banach Partial *-algebras
Jean-Pierre Antoine
Camillo Trapani
Francesco Tschinke
[J]. Mediterranean Journal of Mathematics, 2007, 4 : 357 - 373
[39] HOMOMORPHISMS DEFINED ON REGULAR BANACH ALGEBRAS
YOOD, B
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (01): : 46 - 46
[40] HOMOMORPHISMS ON A CLASS OF COMMUTATIVE BANACH ALGEBRAS
Botelho, Fernanda
Jamison, James
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2013, 43 (02) : 395 - 416

← 1 2 3 4 5 →