3 papers
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…
math.FA2024
Linear isometries on the annulus: description and spectral properties
Isabelle Chalendar, Lucas Oger, Jonathan R. Partington
We give a complete characterisation of the linear isometries of , where is the half-plane, the complex plane or an annulus centered at 0 and symmetric to the unit…
math.CV2024
Linear isometries of Hol(D)
I. Chalendar, L. Oger, J. R. Partington
A complete characterisation is given of all the linear isometries of the Fréchet space of all holomorphic functions on the unit disc, when it is given one of the two standard metri…