Title of article
Lie derivable maps on
Author/Authors
Lu، نويسنده , , Fangyan and Liu، نويسنده , , Benhong، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
8
From page
369
To page
376
Abstract
Let X be a Banach space of dimension greater than 1. We prove that if a map δ : B ( X ) → B ( X ) satisfies δ ( [ A , B ] ) = [ δ ( A ) , B ] + [ A , δ ( B ) ] for any A , B ∈ B ( X ) , then δ = D + τ , where D is an additive derivation of B ( X ) and the map τ : B ( X ) → F I vanishes at commutators [ A , B ] .
Keywords
Lie derivation , Lie derivable map , Additivity , Rank one operator
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561339
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