3 papers
math.FA2025
Classification of ill-posedness for bounded linear operators in Banach spaces
Bernd Hofmann, Stefan Kindermann
In this article, concepts of well- and ill-posedness for linear operators in Hilbert and Banach spaces are discussed. While these concepts are well understood in Hilbert spaces, th…
math.FA2025
Operator ordering by ill-posedness in Hilbert and Banach spaces
Stefan Kindermann, Bernd Hofmann
For operators representing ill-posed problems, an ordering by ill-posedness is proposed, where one operator is considered more ill-posed than another one if the former can be expre…
math.FA2025
Norms in sinogram space and stability estimates for the Radon transform
Stefan Kindermann, Simon Hubmer
We consider different norms for the Radon transform of a function and investigate under which conditions they can be estimated from above or below by some standard norms f…