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math.FA2025
Recent perspectives on the Invariant Subspace Problem
I. Chalendar, J. R. Partington
We review recent work connected with the invariant subspace problem for operators, in particular new developments in the last 15 years. In particular, we include discussions of alm…
math.FA2025
On the relation between distances and seminorms on Fréchet spaces, with application to isometries
Isabelle Chalendar, Lucas Oger, Jonathan R. Partington
A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions on the growth of th…