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20102023
most citedAn Affirmative Answer to a Core Issue on Limit Operators

50 citations · 99 across the 15 of their papers we have counts for

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6 papers · 1 filter

math.FA2022

Half-line compressions and finite sections of discrete Schrödinger operators with integer-valued potentials

Marko Lindner, Riko Ukena

We study 1D discrete Schrödinger operators with integer-valued potential and show that, , invertibility (in fact, even just Fredholmness) of always implies invertibili…

math.FA2022

A note on Hausdorff-convergence of pseudospectra

Marko Lindner, Dennis Schmeckpeper

For a bounded linear operator on a Banach space, we study approximation of the spectrum and pseudospectra in the Hausdorff distance. We give sufficient and necessary conditions in…

math.FA2021

Minimal Families of Limit Operators

Marko Lindner

We study two abstract scenarios, where an operator family has a certain minimality property. In both scenarios, it is shown that norm, spectrum and resolvent are the same for all f…

math.FA2018

Circulant matrices: norm, powers, and positivity

Marko Lindner

In their recent paper "The spectral norm of a Horadam circulant matrix", Merikoski, Haukkanen, Mattila and Tossavainen study under which conditions the spectral norm of a general r…

math.FA2015

Essential pseudospectra and essential norms of band-dominated operators

Raffael Hagger, Marko Lindner, Markus Seidel

An operator on an -space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation. The coset of in th…

math.FA2014★ 50 cited

An Affirmative Answer to a Core Issue on Limit Operators

Marko Lindner, Markus Seidel

An operator on an -space is called band-dominated if it can be approximated, in the operator norm, by operators with a banded matrix representation. It is known that a rich…