AU - Taghavi, A.
AU - Hosseinzadeh, R.
AU - Rohi, H.
TI - Additive Maps Preserving Idempotency of Products or Jordan Products of Operators
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 11
VI - 2
IP - 2
4099 - http://ijmsi.ir/article-1-580-en.html
4100 - http://ijmsi.ir/article-1-580-en.
SO - IJMSI 2
ABĀ - 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.
CP - IRAN
IN - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazan- daran, P. O. Box 47416-1468, Babolsar, Iran.
LG - eng
PB - IJMSI
PG - 131
PT - Research
YR - 2016