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math.FA2025
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…
math.FA2025
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…