3 papers
math.FA2026
On hyperinvariant subspaces of operators containing unilateral shifts
László Kérchy
The hyperinvariant subspace problem for Hilbert space operators containing a unilateral shift is addressed. The discussion is based on a similarity model of , which is an op…
math.FA2025
Hyperinvariant subspaces of block-triangular operators on Hilbert space
László Kérchy, Carl Pearcy
We show that if a nonscalar operator on a separable Hilbert space has a nontrivial invariant subspace, then it has also a nontrivial hyperinvariant subspace. Thus the hyperinvarian…
math.FA2018
Quasianalytic n-tuples of Hilbert space operators
László Kérchy
In this paper a systematic study of unitary asymptotes of commuting -tuples of general Hilbert space operators is initiated. Special emphasis is put on the study of the quasiana…