18 citations · 36 across the 27 of their papers we have counts for
12 papers · 1 filter
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.
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…
The dual of the compressed shift
M. C. Camara, W. T. Ross
For an inner function u we discuss the dual operator for the well-known compressed shift. We establish conditions for two dual compressed shifts to be unitarily equivalent/similar…
Partially isometric matrices: a brief and selective survey
Stephan Ramon Garcia, Matthew Okubo Patterson, William T. Ross
We survey a variety of results about partially isometric matrices. We focus primarily on results that are distinctly finite-dimensional. For example, we cover a recent solution to…
Optimal Weak Parallelogram Constants for Spaces
Raymond Cheng, Javad Mashreghi, William T. Ross
Inspired by Clarkson's inequalities for and continuing work from \cite{CR}, this paper computes the optimal constant in the weak parallelogram laws $$ \|f + g \|^r + C\|f…