Universal Journal of Mathematics and Mathematical Sciences
Volume 9, Issue 1 - 2, Pages 13 - 29
(April 2016) http://dx.doi.org/10.17654/UM0090120013 |
|
HOMOMORPHISMS AND j-DERIVATIONS ON BANACH-JORDAN PAIRS
H. Marhnine and C. Zarhouti
|
Abstract: The aim of this paper consists in proving the automatic continuity of epimorphisms and j-derivations defined from a Banach-Jordan pair into a semisimple Banach-Jordan pair under some algebraic conditions. Similar results for Banach-Jordan algebras are shown to be true. |
Keywords and phrases: Banach-Jordan pair, Banach-Jordan algebra, homomorphism, epimorphism, j-derivation, automatic continuity. |
|
Number of Downloads: 304 | Number of Views: 746 |
|