RT - Journal Article
T1 - Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
JF - IJMSI
YR - 2016
JO - IJMSI
VO - 11
IS - 2
UR - http://ijmsi.ir/article-1-580-en.html
SP - 131
EP - 137
K1 Operator algebra
K1 Jordan product
K1 Idempotent.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-580-en.html
M3
ER -