6 papers · 1 filter
Positive self-commutators of positive operators
Roman Drnovšek, Marko Kandić
We consider a positive operator on a Hilbert lattice such that its self-commutator is positive. If is also idempotent, then it is an orthogonal projecti…
Artinian and Noetherian vector lattices
Marko Kandić, Mark Roelands, Marten Wortel
In this paper, we study Artinian and Noetherian properties in vector lattices and provide a concrete representation of these spaces. Furthermore, we describe for which Archimedean…
Collineations preserving the lattice of invariant subspaces of a linear transformation
Janko Bračič, Marko Kandić
Given a linear transformation on a finite-dimensional complex vector space $\eV$, in this paper we study the group $\Col(A)$ consisting of those invertible linear transformatio…
Relatively Uniformly Continuous Semigroups on Vector Lattices
Marko Kandić, Michael Kaplin
In this paper we study continuous semigroups of positive operators on general vector lattices equipped with the relative uniform topology . We introduce the notions of stro…
Metrizability of minimal and unbounded topologies
Marko Kandić, Mitchell A. Taylor
In 1987, I. Labuda proved a general representation theorem that, as a special case, shows that the topology of local convergence in measure is the minimal topology on Orlicz spaces…
Positive operators as commutators of positive operators
Roman Drnovšek, Marko Kandić
It is known that a positive commutator between positive operators on a Banach lattice is quasinilpotent whenever at least one of and is compact. In this paper…