1 citations · 1 across the 6 of their papers we have counts for
7 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…
Lower estimates near the origin for functional calculus on operator semigroups
I. Chalendar, J. Esterle, J. R. Partington
This paper provides sharp lower estimates near the origin for the functional calculus of a generator of an operator semigroup defined on the (strictly) positive real l…
Dichotomy results for norm estimates in operator semigroups
I. Chalendar, J. Esterle, J. R. Partington
This is a survey paper concerned with strongly continuous semigroups in a Banach algebra (often itself simply the algebra of bounded linear operators on a Banach space). These are…