AbstractWe study Lie triple derivations of TUHF algebras. It is shown that if L is a continuous Lie triple derivation of a TUHF algebra T, then there exists an associative derivation D of T such that L=D+λ, where λ is a linear map of T into its center which annihilates brackets of operators
AbstractLie–Yamaguti algebras (or generalized Lie triple systems) are intimately related to reductiv...
AbstractLet M be a von Neumann algebra with no central summands of type I1. If Φ:M→M is a nonlinear ...
Abstract: We prove that every Lie triple derivation on algebras of measurable operators is in standa...
AbstractWe study Lie triple derivations of TUHF algebras. It is shown that if L is a continuous Lie ...
AbstractLet N be a non-trivial nest on X, AlgN be the associated nest algebra, and L:AlgN→B(X) be a ...
AbstractLet N be a nest on a complex separable Hilbert space H, and τ(N) be the associated nest alge...
AbstractLet R be a commutative ring with identity, A,B be unital algebras over R and M be a unital (...
summary:Let $\mathcal {X}$ be a Banach space of dimension $n>1$ and $\mathfrak {A} \subset \mathcal ...
summary:An invertible linear map $\varphi $ on a Lie algebra $L$ is called a triple automorphism of ...
Let A be a standard operator algebra on an infinite dimensional complex Hilbert space H containing i...
AbstractLet N(n,R) be the nilpotent Lie algebra consisting of all strictly upper triangular n×n matr...
AbstractLet A be a unital prime algebra with a nontrivial idempotent over a field F. For any scalar ...
AbstractIn this paper we prove that every nonlinear ∗-Lie derivation from a factor von Neumann algeb...
AbstractIn this paper we prove that every nonlinear Lie derivation of triangular algebras is the sum...
AbstractWe introduce the notion of a multiplicative Lie n-derivation of a ring, generalizing the not...
AbstractLie–Yamaguti algebras (or generalized Lie triple systems) are intimately related to reductiv...
AbstractLet M be a von Neumann algebra with no central summands of type I1. If Φ:M→M is a nonlinear ...
Abstract: We prove that every Lie triple derivation on algebras of measurable operators is in standa...
AbstractWe study Lie triple derivations of TUHF algebras. It is shown that if L is a continuous Lie ...
AbstractLet N be a non-trivial nest on X, AlgN be the associated nest algebra, and L:AlgN→B(X) be a ...
AbstractLet N be a nest on a complex separable Hilbert space H, and τ(N) be the associated nest alge...
AbstractLet R be a commutative ring with identity, A,B be unital algebras over R and M be a unital (...
summary:Let $\mathcal {X}$ be a Banach space of dimension $n>1$ and $\mathfrak {A} \subset \mathcal ...
summary:An invertible linear map $\varphi $ on a Lie algebra $L$ is called a triple automorphism of ...
Let A be a standard operator algebra on an infinite dimensional complex Hilbert space H containing i...
AbstractLet N(n,R) be the nilpotent Lie algebra consisting of all strictly upper triangular n×n matr...
AbstractLet A be a unital prime algebra with a nontrivial idempotent over a field F. For any scalar ...
AbstractIn this paper we prove that every nonlinear ∗-Lie derivation from a factor von Neumann algeb...
AbstractIn this paper we prove that every nonlinear Lie derivation of triangular algebras is the sum...
AbstractWe introduce the notion of a multiplicative Lie n-derivation of a ring, generalizing the not...
AbstractLie–Yamaguti algebras (or generalized Lie triple systems) are intimately related to reductiv...
AbstractLet M be a von Neumann algebra with no central summands of type I1. If Φ:M→M is a nonlinear ...
Abstract: We prove that every Lie triple derivation on algebras of measurable operators is in standa...