Results 21 to 29 of about 81 (29)

Jordan derivations on triangular matrix rings [PDF]

, 2015
Guided by the research line introduced by Martindale III in [5] on the study of the additivity of maps, this article aims establish conditions on triangular matrix rings in order that an map φ satisfying φ(ab + ba) = φ(a)b + aφ(b) + φ(b)a + bφ(a) for all
Ferreira, Bruno L.M.
core   +4 more sources

Characterization of derivations on strongly double triangle subspace lattice algebras by local actions

Open Mathematics
Let D $\mathcal{D}$ be a strongly double triangle subspace lattice on a nonzero complex reflexive Banach space and AlgD $\text{Alg}\mathcal{D}$ the associated subspace lattice algebra. Assume that F,G∈AlgD $F,G\in \text{Alg}\mathcal{D}$ and set R(F,G)=
Qin Zijie
doaj   +1 more source

Automatic closure of invariant linear manifolds for operator algebras [PDF]

, 2000
Kadison's transitivity theorem implies that, for irreducible representations of C*-algebras, every invariant linear manifold is closed. It is known that CSL algebras have this propery if, and only if, the lattice is hyperatomic (every projection is ...
Donsig, Allan, Hopenwasser, Alan, Pitts, David R.   +2 more
core   +2 more sources

Operator Algebras with Unique Preduals

, 2008
We show that every free semigroup algebras has a (strongly) unique Banach space predual. We also provide a new simpler proof that a weak*-closed unital operator operator algebra containing a weak* dense subalgebra of compact operators has a unique Banach
Alex Wright, Ando, Davidson, Davidson, Davidson, Godefroy, Godefroy, Kenneth R. Davidson, Ruan   +8 more
core   +1 more source

Additivity of Lie Centralizers on Triangular Rings [PDF]

, 2011
We introduce the definition of Lie centralizers and investigate theadditivity of Lie centralizers on triangular rings.
Jing, Wu
core   +1 more source

Kernel maps and operator decomposition

, 2019
We introduce the notions of kernel map and kernel set of a bounded linear operator on a Hilbert space relative to a subspace lattice. The characterization of the kernel maps and kernel sets of finite rank operators leads to showing that every norm closed
Matos, Gabriel, Oliveira, Lina
core  

Normalizers of Operator Algebras and Reflexivity

, 2002
The set of normalizers between von Neumann (or, more generally, reflexive) algebras A and B, (that is, the set of all operators x such that xAx* is a subset of B and x*Bx is a subset of A) possesses `local linear structure': it is a union of reflexive ...
Katavolos, A., Todorov, I. G.
core  

Single elements of finite CSL algebras

, 2000
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