1 citations · 1 across the 3 of their papers we have counts for
6 papers
Bimodules of Banach space nest algebras
Luís Duarte, Lina Oliveira
We extend to Banach space nest algebras the theory of essential supports and support function pairs of their bimodules, thereby obtaining Banach space counterparts of long establis…
Kernel maps and operator decomposition
Gabriel Matos, Lina Oliveira
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 ke…
Weakly closed Lie modules of nest algebras
Lina Oliveira, Miguel Santos
Let be a nest algebra of operators on Hilbert space and let be a weakly closed Lie -module. We construct explicit…
A characterization of reflexive spaces of operators
Janko Bračič, Lina Oliveira
We show that for a linear space of operators the following assertions are equivalent. (i) is reflexive in the sense of…
Decomposability of bimodule maps
Christian Le Merdy, Lina Oliveira
Consider a unital C*-algebra A, a von Neumann algebra M, a unital sub-C*-algebra C of A and a unital *-homomorphism from C to M. Let u: A --> M be a decomposable map (i.e. a li…
Finite rank operators in Lie ideals of nest algebras
Lina Oliveira
The main theorem provides a characterisation of the finite rank operators lying in a norm closed Lie ideal of a continuous nest algebra. These operators are charaterised as those f…