Results 11 to 20 of about 99 (47)

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

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

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 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

Jordan all-derivable points in the algebra of all upper triangular matrices

, 2010
Article history: Received 9 May 2010 Accepted 2 July 2010 Available online 8 August 2010 Submitted by C.K.
Shan Zhao, Jun Zhu
semanticscholar   +1 more source

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

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