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The Taylor joint spectrum and restriction to hyperinvariant subspaces
Edward J. Timko
It is well known that for a single bounded operator on a Hilbert , if is hyperinvariant for , then the spectrum of $A_0|…
Localizable points in the support of a multiplier ideal and spectra of constrained operators
Raphaël Clouâtre, Edward J. Timko
A unitarily invariant, complete Nevanlinna--Pick kernel on the unit ball determines a class of operators on Hilbert space called -contractions. We study those -contractio…
Row contractions annihilated by interpolating vanishing ideals
Raphaël Clouâtre, Edward J. Timko
We study similarity classes of commuting row contractions annihilated by what we call higher order vanishing ideals of interpolating sequences. Our main result exhibits a Jordan-ty…
Cyclic row contractions and rigidity of invariant subspaces
Raphaël Clouâtre, Edward J. Timko
It is known that pure row contractions with one-dimensional defect spaces can be classified up to unitary equivalence by compressions of the standard -shift acting on the full F…
A classification of -tuples of commuting shifts of finite multiplicity
Edward J Timko
Let denote an -tuple of shifts of finite multiplicity, and denote by the ideal consisting of polynomials in complex variables suc…
On polynomial -tuples of commuting isometries
Edward J. Timko
We extend some of the results of Agler, Knese, and McCarthy [1] to -tuples of commuting isometries for . Let be an -tuple of a commuting iso…