TY - JOUR
T1 - Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
JF - IJMSI
JO - IJMSI
VL - 11
IS - 2
UR - http://ijmsi.ir/article-1-580-en.html
Y1 - 2016
SP - 131
EP - 137
KW Operator algebra
KW Jordan product
KW Idempotent.
N2 - Let $mathcal{H}$ and $mathcal{K}$ be infinite dimensional Hilbert spaces, while $mathcal{B(H)}$ and $mathcal{B(K)}$ denote the algebras of all linear bounded operators on $mathcal{H}$ and $mathcal{K}$, respectively. We characterize the forms of additive mappings from $mathcal{B(H)}$ into $mathcal{B(K)}$ that preserve the nonzero idempotency of either Jordan products of operators or usual products of operators in both directions.
M3
ER -