50 citations · 168 across the 13 of their papers we have counts for
6 papers · 1 filter
An alternative approach to Fréchet derivatives
Shane Arora, Hazel Browne, Daniel Daners
We discuss an alternative approach to Fréchet derivatives on Banach spaces inspired by a characterisation of derivatives due to Carathéodory. The approach allows us to reduce many…
A criterion for the uniform eventual positivity of operator semigroups
Daniel Daners, Jochen Glück
Consider a -semigroup on a function space or, more generally, on a Banach lattice . We prove a sufficient criterion for the operators to be po…
Towards a perturbation theory for eventually positive semigroups
Daniel Daners, Jochen Glück
We consider eventually positive operator semigroups and study the question whether their eventual positivity is preserved by bounded perturbations of the generator or not. We demon…
The role of domination and smoothing conditions in the theory of eventually positive semigroups
Daniel Daners, Jochen Glück
We perform an in-depth study of some domination and smoothing properties of linear operators and of their role within the theory of eventually positive operator semigroups. On the…
Eventually Positive Semigroups of Linear Operators
Daniel Daners, Jochen Glück, James B. Kennedy
We develop a systematic theory of eventually positive semigroups of linear operators mainly on spaces of continuous functions. By eventually positive we mean that for every positiv…
Eventually and asymptotically positive semigroups on Banach lattices
Daniel Daners, Jochen Glück, James B. Kennedy
We develop a theory of eventually positive -semigroups on Banach lattices, that is, of semigroups for which, for every positive initial value, the solution of the correspondin…