10 citations · 30 across the 37 of their papers we have counts for
40 papers
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…
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…
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…
Phase retrieval on circles and lines
I. Chalendar, J. R. Partington
Let and be analytic functions on the open unit disc such that on a set . We give an alternative proof of the result of Perez that there exists …
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…
A note on composition operators on model spaces
Isabelle Chalendar, Pavel Gumenyuk, John E. McCarthy
Motivated by the study of composition operators on model spaces launched by Mashreghi and Shabankha we consider the following problem: for a given inner function $ϕ\not\in\mathsf{A…