63 citations · 138 across the 17 of their papers we have counts for
18 papers
The universal algebra generated by a power partial isometry
Steffen Roch
A power partial isometry (PPI) is an element of a -algebra with the property that every power is a partial isometry. The goal of this paper is to identify the univer…
On Moore-Penrose ideals
Steffen Roch
Every bounded linear operator on a Hilbert space which is invertible modulo compact operators has a closed range and is, thus, generalized invertible. We consider the analogue ques…
Finite sections of truncated Toeplitz operators
Steffen Roch
We describe the -algebra associated with the finite sections discretization of truncated Toeplitz operators on the model space where is an infinite Blaschke produc…
A handy formula for the Fredholm index of Toeplitz plus Hankel operators
Steffen Roch, Bernd Silbermann
We consider Toeplitz and Hankel operators with piecewise continuous generating functions on -spaces and the Banach algebra generated by them. The goal of this paper is to prov…
Fractal algebras of discretization sequences
Steffen Roch
These are the lecture notes for a course at the Summer School on "Applied Analysis" at the Technical University Chemnitz in September 2011. We start with the definition of a fracta…
Pseudodifferential operators on periodic graphs
Vladimir S. Rabinovich, Steffen Roch
The main aim of the paper is Fredholm properties of a class of bounded linear operators acting on weighted Lebesgue spaces on an infinite metric graph which is periodic with re…