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math.FA2026
Duality of uncomplemented null-space and non-closed range and its impact on the regularization of Mazur-type operators
Jens Flemming, Bernd Hofmann
Up to now operators with uncomplemented null-space have been playing only a minor role in regularization theory for ill-posed inverse problems in Banach spaces. We show that ill-po…
math.FA2026
A note on the Goldberg-Thorp example in light of the classification of linear ill-posed problems in Banach spaces
Bernd Hofmann, Jens Flemming
This note considers the strictly singular mapping, denoted by , from onto of an example by Goldberg and Thorp from 1963 as a typical hybrid-type operator in th…