Results 11 to 20 of about 81 (29)
A new class of hyperfinite Kadison-Singer factors
Operators and Matrices, 2019 In this paper, we construct a new class of hyperfinite Kadison-Singer factors on separable Hilbert spaces, and we show that each of these Kadison-Singer factors is isomorphic to a subalgebra of CSL algebra.
Fei Ma, Ye Zhang
semanticscholar +1 more source
Generalized Lie derivations of unital algebras with idempotents
, 2018 Let A be a unital algebra with a nontrivial idempotent e over a unital commutative ring R . We show that under suitable assumptions every generalized Lie n -derivation F : A → A is of the form F(x) = λx+ Δ(x) , where λ ∈ Z(A ) and Δ is a Lie n ...
Dominik Benkovič
semanticscholar +1 more source
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
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
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
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
Lie ring isomorphisms between nest algebras on Banach spaces
, 2014 Let ${\mathcal N}$ and ${\mathcal M}$ be nests on Banach spaces $X$ and $Y$ over the (real or complex) field $\mathbb F$ and let $\mbox{\rm Alg}{\mathcal N}$ and $\mbox{\rm Alg}{\mathcal M}$ be the associated nest algebras, respectively. It is shown that
Deng, Juan, Hou, Jinchuan, Qi, Xiaofei
core +1 more source
Jordan Derivations and Antiderivations of Generalized Matrix Algebras [PDF]
, 2012 Let $\mathcal{G}=[A & M N & B]$ be a generalized matrix algebra defined by the Morita context $(A, B,_AM_B,_BN_A, \Phi_{MN}, \Psi_{NM})$. In this article we mainly study the question of whether there exist proper Jordan derivations for the generalized ...
Feng Wei, Leon Van, Wyk, Yanbo Li
core
Morita embeddings for dual operator algebras and dual operator spaces
, 2017 We define a relation < for dual operator algebras. We say that B < A if there exists a projection p in A such that B and pAp are Morita equivalent in our sense.
Eleftherakis, G. K.
core +1 more source