16 citations · 51 across the 16 of their papers we have counts for
18 papers
BIBO stability in infinite dimensions: extensions and limitations of finite-dimensional theory
Sahiba Arora, Alexander A. Wierzba
The study of bounded-input bounded-output (BIBO) stability of infinite-dimensional systems gives rise to difficulties that do not occur in the classical finite-dimensional setting.…
ISS and integral ISS coincide for linear systems with bounded inputs
Sahiba Arora, Philip Preußler, Felix Schwenninger
We show that input-to-state stability (ISS) and integral input-to-state stability (integral ISS) with respect to the space of essentially bounded functions are equivalent propertie…
Ornstein--Uhlenbeck semigroup on rooted trees
Sahiba Arora, Marjeta Kramar Fijavž, Delio Mugnolo +1
We study Ornstein--Uhlenbeck operators on rooted metric trees equipped with a Gaussian-type measure. Using form methods, we construct Dirichlet and Neumann realisations correspondi…
Smoothing of operator semigroups under relatively bounded perturbations
Sahiba Arora, Jonathan Mui
We investigate a smoothing property for strongly-continuous operator semigroups, akin to ultracontractivity in parabolic evolution equations. Specifically, we establish the stabili…
Input-to-state stability in integral norms for linear infinite-dimensional systems
Sahiba Arora, Andrii Mironchenko
We study integral-to-integral input-to-state stability for infinite-dimensional linear systems with inputs and trajectories in -spaces. We start by developing the correspondin…
A universal example for quantitative semi-uniform stability
Sahiba Arora, Felix Schwenninger, Ingrid Vukusic +1
We characterise quantitative semi-uniform stability for -semigroups arising from port-Hamiltonian systems, complementing recent works on exponential and strong stability. With…
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…
Domination of semigroups on standard forms of von Neumann algebras
Sahiba Arora, Ralph Chill, Sachi Srivastava
Consider and as real -semigroups generated by closed and symmetric sesquilinear forms on a standard form of a von Neumann algebra. We provide…
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…
A characterization of the individual maximum and anti-maximum principle
Sahiba Arora, Jochen Glück
Abstract approaches to maximum and anti-maximum principles for differential operators typically rely on the condition that all vectors in the domain of the operator are dominated b…
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…
An operator theoretic approach to uniform (anti-)maximum principles
Sahiba Arora, Jochen Glück
Maximum principles and uniform anti-maximum principles are a ubiquitous topic in PDE theory that is closely tied to the Krein--Rutman theorem and kernel estimates for resolvents. W…
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…