scholarly journals The automatic continuity for particular type of homomorphism nonassociative algebras

2008 ◽  
Vol 21 (3) ◽  
pp. 153-159
Author(s):  
Roqya Ballo ◽  
Amer Mohammed
Keyword(s):  
Automatic Continuity ◽  
Nonassociative Algebras

scholarly journals CODES, S-STRUCTURES, AND EXCEPTIONAL LIE ALGEBRAS

2019 ◽  
Vol 62 (S1) ◽  
pp. S14-S27 ◽  
Author(s):  
ISABEL CUNHA ◽  
ALBERTO ELDUQUE
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Nonassociative Algebras ◽  
Exceptional Lie Algebras

AbstractThe exceptional simple Lie algebras of types E7 and E8 are endowed with optimal $\mathsf{SL}_2^n$ -structures, and are thus described in terms of the corresponding coordinate algebras. These are nonassociative algebras which much resemble the so-called code algebras.

scholarly journals Sur la continuité automatique des épimorphismes dans les☆-algèbres de Banach

2004 ◽  
Vol 2004 (22) ◽  
pp. 1183-1187
Author(s):  
L. Oukhtite ◽  
A. Tajmouati ◽  
Y. Tidli
Keyword(s):  
Banach Algebras ◽  
Automatic Continuity ◽  
Nous Obtenons

Nous étudions les problèmes de continuité automatique dans des algèbres de Banach avec involutions. Nous obtenons aussi des nouveoux résultats concernant☆-idéals des☆-algèbres.We study the automatic continuity problems for Banach algebras with involutions. We also obtain some new results concerning☆-ideals of☆-algebras.

Automatic Continuity of Separating Linear Isomorphisms

1990 ◽  
Vol 33 (2) ◽  
pp. 139-144 ◽  
Author(s):  
Krzysztof Jarosz
Keyword(s):  
Automatic Continuity ◽  
Linear Map

AbstractA linear map A : C(T) → C(S) is called separating if f • g ≡ 0 implies Af • Ag = 0. We describe the general form of such maps and prove that any separating isomorphism is continuous.

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