TY - JOUR
JF - IJMSI
JO - IJMSI
VL - 11
IS - 2
PY - 2016
Y1 - 2016/11/01
TI - Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
TT -
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.
SP - 131
EP - 137
AU - Taghavi, A.
AU - Hosseinzadeh, R.
AU - Rohi, H.
AD - University of Mazandaran
KW - Operator algebra
KW - Jordan product
KW - Idempotent.
UR - http://ijmsi.ir/article-1-580-en.html
DO - 10.7508/ijmsi.2016.02.010
ER -