16 citations · 51 across the 16 of their papers we have counts for
9 papers · 1 filter
Admissible operators for sun-dual semigroups
Sahiba Arora, Felix L. Schwenninger
We extend classical duality results by Weiss on admissible operators to settings where the dual semigroup lacks strong continuity. This is possible using the sun-dual framework, wh…
Eventually positive semigroups: spectral and asymptotic analysis
Sahiba Arora
The spectral theory of semigroup generators is a crucial tool for analysing the asymptotic properties of operator semigroups. Typically, Tauberian theorems, such as the ABLV theore…
The lattice structure of negative Sobolev and extrapolation spaces
Sahiba Arora, Jochen Glück, Felix L. Schwenninger
It is well-known that the Sobolev spaces are vector lattices with respect to the pointwise almost everywhere order if , but not if .…
Limit-case admissibility for positive infinite-dimensional systems
Sahiba Arora, Jochen Glück, Lassi Paunonen +1
In the context of positive infinite-dimensional linear systems, we systematically study -admissible control and observation operators with respect to the limit-cases $p=\infty…
Criteria for eventual domination of operator semigroups and resolvents
Sahiba Arora, Jochen Glück
We consider two -semigroups and on function spaces (or, more generally, on Banach lattices) and analyse eventual domination between t…
Domination of semigroups generated by regular forms
Sahiba Arora, Ralph Chill, Jean-Daniel Djida
We give a representation for regular forms associated with dominated -semigroups which, in turn, characterises domination of -semigroups associated with regular forms. In…
Stability of (eventually) positive semigroups on spaces of continuous functions
Sahiba Arora, Jochen Glück
We present a new and very short proof of the fact that, for positive -semigroups on spaces of continuous functions, the spectral and the growth bound coincide. Our argument, i…
Locally Eventually Positive Operator Semigroups
Sahiba Arora
We initiate a theory of locally eventually positive operator semigroups on Banach lattices. Intuitively this means: given a positive initial datum, the solution of the correspondin…
Spectrum and convergence of eventually positive operator semigroups
Sahiba Arora, Jochen Glück
An intriguing feature of positive -semigroups on function spaces (or more generally on Banach lattices) is that their long-time behaviour is much easier to describe than it is…