Results 11 to 17 of about 22 (17)

Strong commutativity preserving maps on triangular rings

, 2012
Let U = Tri(A ,M ,B) be a triangular ring. It is shown, under some mild assumption, that every surjective strong commutativity preserving map Φ : U →U (i.e. [Φ(T ),Φ(S)]= [T,S] for all T,S ∈ U ) is of the form Φ(T ) = ZT + f (T ) , where Z is in Z (U ) ,
X. Qi, J. Hou
semanticscholar   +1 more source

Strong commutativity preserving generalized derivations on triangular rings

, 2014
Let U = Tri(A,M,B) be a triangular ring such that either A or B has no nonzero central ideals. It is shown that every pair of strong commutativity preserving generalized derivations g1,g2 of U (i.e., [g1(x),g2(y)] = [x,y] for all x,y ∈U ) is of the form ...
He Yuan, Yao Wang, Yu Wang, Yiqiu Du
semanticscholar   +1 more source

All-derivable subsets for nest algebras on Banach spaces

, 2014
Let N be a nest on a complex Banach space X and let AlgN be the associated nest algebra. We say that a subset S ⊂ AlgN is an all-derivable subset of AlgN if every linear map δ from AlgN into itself derivable on S (i.e. δ satisfies that, for each Z ∈ S, δ(
Yanfang Zhang, J. Hou, X. Qi
semanticscholar   +1 more source

Jordan left derivations and some left derivable maps

, 2010
Let A be an algebra and M be a left A -module. We say that a linear mapping φ : A → M is a left derivable mapping at P if φ(ST ) = Sφ(T ) +Tφ(S) for any S,T ∈ A with ST = P .
Jiankui Li, Jiren Zhou
semanticscholar   +1 more source

All-derivable points of nest algebras on Banach spaces

, 2012
Let N be a nest on a real or complex Banach space X and let AlgN be the associated nest algebra. Ω ∈ AlgN is called an additively all-derivable point if for any additive map δ : AlgN →AlgN , δ (AB) = δ (A)B+Aδ (B) holds for any A,B ∈ AlgN with AB = Ω ...
Weishun Xue, J. Hou
semanticscholar   +1 more source

Single elements of finite CSL algebras

, 2000
An element s of an (abstract) algebra A is a single element of A if asb = 0 and a, b ∈ A imply that as = 0 or sb = 0. Let X be a real or complex reflexive Banach space, and let B be a finite atomic Boolean subspace lattice on X, with the property that ...
W. E. Longstaff, Oreste Panaia
semanticscholar   +1 more source

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Some Characterizations of Commutative Subspace Lattices

, 2004
D. Edwards
semanticscholar   +1 more source