On Lie All-Derivable Points of B(H)

Abstract

Let H be a Hilbert space of dimension greater than 2 and B(H) be the algebra of all bounded linear operators on H. In this paper, the authors show that G ∈ B(H) is a Lie all-derivable point of B(H) if the range of G is not dense in H.

Keywords

Derivation / Lie derivation / All-derivable point / 47B47 / 47L30

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