5 citations · 8 across the 6 of their papers we have counts for
12 papers
Similarities of subspace lattices in Banach spaces
Janko Bračič, Marko Kandić
A collineation of a subspace lattice $\fL$ in a complex Banach space $\eX$ is an invertible operator on $\eX$ with the property that the image $S\eM$ of a subspace $\eM$ belong…
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…
On the diagonal of Riesz operators on Banach lattices
Roman Drnovšek, Marko Kandić
This paper extends the well-known Ringrose theory for compact operators to polynomially Riesz operators on Banach spaces. The particular case of an ideal-triangularizable Riesz ope…
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…
Prime ideals and Noetherian properties in vector lattices
Marko Kandić, Mark Roelands
In this paper we study the set of prime ideals in vector lattices and how the properties of the prime ideals structure the vector lattice in question. The different properties that…