Resumen de Maps preserving the square zero of ?-Lie product of operators

Ali Taghavi, Roja Hosseinzadeh, Masoomeh Yousefi

• Let B(H) be the algebra of all bounded linear operators on an infinite dimensional Hilbert space ?. In this paper, we identify the form of the unital surjective additive map ? : B(H)? B(H)which preserves the square zero of ?-Lie product of operators for some scalar ? with ? ? 0, 1, ?1.