18 citations · 36 across the 27 of their papers we have counts for
35 papers
Invariant subspaces of the Cesaro operator
Eva A. Gallardo-Gutierrez, Jonathan R. Partington, William T. Ross
This paper explores various classes of invariant subspaces of the classical Cesàro operator on the Hardy space . We provide a new characterization of the finite co-dimensi…
The Cesaro operator
William T. Ross
This survey paper explores various aspects of the Cesaro operator and how it relates to various areas of functional analysis and linear algebra.
Sharp estimates of the solutions to B{é}zout's polynomial equation and a corona theorem
Emmanuel Fricain, Andreas Hartmann, Ross William T. +1
In this paper, we obtain estimates for the solutions to the classical B{é}zout equation that are analogous to Carleson's solution to the corona theorem for the bounded analytic fun…
Square roots of some classical operators
Javad Mashreghi, Marek Ptak, William T. Ross
In this paper we give complete descriptions of the set of square roots of certain classical operators, often providing specific formulas. The classical operators included in this d…
Zeros of optimal polynomial approximants in
Raymond Cheng, William T. Ross, Daniel Seco
The study of inner and cyclic functions in spaces requires a better understanding of the zeros of the so-called optimal polynomial approximants. We determine that a poin…
The Smirnov class for de Branges--Rovnyak spaces
Emmanuel Fricain, Andreas Hartmann, William T. Ross +1
Using an explicit construction, we show that the de Branges-Rovnyak spaces , corresponding to rational , are contained in their associated Smirnov classes.