AbstractLet X be a Banach space of dimension greater than 2. We prove that if δ:B(X)→B(X) is a linear map satisfyingδ([A,B])=[δ(A),B]+[A,δ(B)]for any A,B∈B(X) with AB=0 (resp. AB=P, where P is a fixed nontrivial idempotent), then δ=d+τ, where d is a derivation of B(X) and τ:B(X)→CI is a linear map vanishing at commutators [A,B] with AB=0 (resp. AB=P)
AbstractThe aim of this paper is to give a description of Lie derivations of generalized matrix alge...
AbstractLet AlgN be a nest algebra associated with the nest N on a (real or complex) Banach space X....
AbstractLet D be a Lie derivation on a unital complex Banach algebra A. Then for every primitive ide...
AbstractLet X be a Banach space of dimension greater than 1. We prove that if a map δ:B(X)→B(X) sati...
AbstractLet T be a triangular algebra over a commutative ring R. In this paper, under some mild cond...
AbstractA linear mapping δ from an algebra A into an A-bimodule M is called derivable at c∈A if δ(a)...
AbstractLet B(X) be the algebra of all bounded linear operators on a complex Banach space X. We give...
AbstractLet N be a non-trivial nest on X, AlgN be the associated nest algebra, and L:AlgN→B(X) be a ...
AbstractFor an algebra A and an A-bimodule M, let L(A,M) be the set of all linear maps from A to M. ...
AbstractSuppose that A is an algebra and M is an A-bimodule. Let A be any element in A. A linear map...
AbstractFor every ring R with the unit I containing a nontrivial idempotent P, we describe the addit...
AbstractLet A be a unital prime algebra with a nontrivial idempotent over a field F. For any scalar ...
AbstractFor a commutative subspace lattice L in a von Neumann algebra N and a bounded linear map f:N...
AbstractLet A be an algebra and M be an A-bimodule. Let X be in A and δ:A→M be a linear map which sa...
Let A be an invertible bounded linear operator on a complex Banach space, {A}′ the commutant of A an...
AbstractThe aim of this paper is to give a description of Lie derivations of generalized matrix alge...
AbstractLet AlgN be a nest algebra associated with the nest N on a (real or complex) Banach space X....
AbstractLet D be a Lie derivation on a unital complex Banach algebra A. Then for every primitive ide...
AbstractLet X be a Banach space of dimension greater than 1. We prove that if a map δ:B(X)→B(X) sati...
AbstractLet T be a triangular algebra over a commutative ring R. In this paper, under some mild cond...
AbstractA linear mapping δ from an algebra A into an A-bimodule M is called derivable at c∈A if δ(a)...
AbstractLet B(X) be the algebra of all bounded linear operators on a complex Banach space X. We give...
AbstractLet N be a non-trivial nest on X, AlgN be the associated nest algebra, and L:AlgN→B(X) be a ...
AbstractFor an algebra A and an A-bimodule M, let L(A,M) be the set of all linear maps from A to M. ...
AbstractSuppose that A is an algebra and M is an A-bimodule. Let A be any element in A. A linear map...
AbstractFor every ring R with the unit I containing a nontrivial idempotent P, we describe the addit...
AbstractLet A be a unital prime algebra with a nontrivial idempotent over a field F. For any scalar ...
AbstractFor a commutative subspace lattice L in a von Neumann algebra N and a bounded linear map f:N...
AbstractLet A be an algebra and M be an A-bimodule. Let X be in A and δ:A→M be a linear map which sa...
Let A be an invertible bounded linear operator on a complex Banach space, {A}′ the commutant of A an...
AbstractThe aim of this paper is to give a description of Lie derivations of generalized matrix alge...
AbstractLet AlgN be a nest algebra associated with the nest N on a (real or complex) Banach space X....
AbstractLet D be a Lie derivation on a unital complex Banach algebra A. Then for every primitive ide...
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