TY - JOUR
T1 - Spectrum preserving linear mappings for scattered Jordan-Banach algebras
AU - Maouche, Abdelaziz
PY - 1999
Y1 - 1999
N2 - Given two semisimple complex Jordan-Banach algebras with identity A and B, we say that T is a spectrum preserving linear mapping from A to B if T is surjective and we have Sp(Tx) = Sp(x), for all x ∈ A.We prove that if B is a scattered Jordan-Banach algebra, then T is a Jordan isomorphism.
AB - Given two semisimple complex Jordan-Banach algebras with identity A and B, we say that T is a spectrum preserving linear mapping from A to B if T is surjective and we have Sp(Tx) = Sp(x), for all x ∈ A.We prove that if B is a scattered Jordan-Banach algebra, then T is a Jordan isomorphism.
KW - Annihilator
KW - Jordan isomorphism
KW - Scattered Jordan-Banach algebra
KW - Socle
KW - Spectrum linear preserving mapping
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U2 - 10.1090/s0002-9939-99-04933-3
DO - 10.1090/s0002-9939-99-04933-3
M3 - Article
AN - SCOPUS:33646749185
SN - 0002-9939
VL - 127
SP - 3187
EP - 3190
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 11
ER -