19 citations · 19 across the 3 of their papers we have counts for
6 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…
On the diameter of a super-order-commuting graph
Janko Bračič, Bojan Kuzma
We answer a question about the diameter of an order-super-commuting graph on a symmetric group by studying the number-theoretical concept of -complete sequences of primes in ari…
Hyperinvariant subspaces for sets of polynomially compact operators
Janko Bračič, Marko Kandić
We prove the existence of a non-trivial hyperinvariant subspace for several sets of polynomially compact operators. The main results of the paper are: (i) a non-trivial norm closed…
Local commutants and ultrainvariant subspaces
Janko Bračič
For an operator on a complex Banach space and a closed subspace , the local commutant of at is the set of all operators on such that…
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…
On Automatic Continuity of 3-Homomorphisms on Banach Algebras
Janko Bracic, Mohammad Sal Moslehian
A linear map between (Banach) algebras is called 3-homomorphism if for each . We investigate 3-hom…