Jordan triple product homomorphisms on Hermitian matrices to and from dimension one
Keywords:
matrix algebra,
Jordan triple product,
homomorphism,
Hermitian matrix.
Author(s):
Damjana Kokol Bukovšek, PhD and Blaž Mojškerc, PhD, University of Ljubljana, Faculty of Economics
Abstract:
We characterize all Jordan triple product homomorphisms, that is, mappings 
satisfying
satisfying
from the set of all Hermitian 
complex matrices to the field of complex numbers. Further, we characterize all Jordan triple product homomorphisms from the field of complex or real numbers or the set of all nonnegative real numbers to the set of all Hermitian 
complex matrices.
complex matrices to the field of complex numbers. Further, we characterize all Jordan triple product homomorphisms from the field of complex or real numbers or the set of all nonnegative real numbers to the set of all Hermitian complex matrices.Journal:
Indexing:
SCI, IF 0.738, 103/310, četrtina: 2
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