Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Arora, Sahiba"'
Autor:
Arora, Sahiba, Glück, Jochen
Publikováno v:
Comptes Rendus. Mathématique, Vol 360, Iss G7, Pp 771-775 (2022)
We present a new and very short proof of the fact that, for positive $C_0$-semigroups on spaces of continuous functions, the spectral and the growth bound coincide. Our argument, inspired by an idea of Vogt, makes the role of the underlying space com
Externí odkaz:
https://doaj.org/article/ec0f1c802c864bcaaa6efe94bab05d2e
We characterise quantitative semi-uniform stability for $C_0$-semigroups arising from port-Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port-Hamil
Externí odkaz:
http://arxiv.org/abs/2410.02357
Autor:
Arora, Sahiba, Schwenninger, Felix L.
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, which is not immediate from the duality of the input and output maps. Th
Externí odkaz:
http://arxiv.org/abs/2408.02150
Autor:
Arora, Sahiba
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 theorem, demand extensive information about the spectrum to derive convergen
Externí odkaz:
http://arxiv.org/abs/2405.16371
It is well-known that the Sobolev spaces $W^{k,p}(\mathbb R^d)$ are vector lattices with respect to the pointwise almost everywhere order if $k \in \{0,1\}$, but not if $k \ge 2$. In this note, we consider negative $k$ and show that the span of the p
Externí odkaz:
http://arxiv.org/abs/2404.02116
In the context of positive infinite-dimensional linear systems, we systematically study $L^p$-admissible control and observation operators with respect to the limit-cases $p=\infty$ and $p=1$, respectively. This requires an in-depth understanding of
Externí odkaz:
http://arxiv.org/abs/2404.01275
Publikováno v:
Archiv der Mathematik, vol. 121, pp. 715-729 (2023)
Consider $(T_t)_{t\ge 0}$ and $(S_t)_{t\ge 0}$ as real $C_0$-semigroups generated by closed and symmetric sesquilinear forms on a standard form of a von Neumann algebra. We provide a characterisation for the domination of the semigroup $(T_t)_{t\ge 0
Externí odkaz:
http://arxiv.org/abs/2309.02284
Autor:
Arora, Sahiba, Glück, Jochen
Publikováno v:
Studia Mathematica 276 (2024), 99-129
Positive $C_0$-semigroups that occur in concrete applications are, more often than not, irreducible. Therefore a deep and extensive theory of irreducibility has been developed that includes characterizations, perturbation analysis, and spectral resul
Externí odkaz:
http://arxiv.org/abs/2307.04627
Autor:
Arora, Sahiba
Combining an idea of Takáč with the techniques of Daners, Glück, and Kennedy, we investigate individual and uniform (anti-)maximum principles, thereby shedding new light on the (current) limited theory. The results are used to prove and disprove (
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A83457
https://tud.qucosa.de/api/qucosa%3A83457/attachment/ATT-0/
https://tud.qucosa.de/api/qucosa%3A83457/attachment/ATT-0/
Autor:
Arora, Sahiba, Glück, Jochen
Publikováno v:
Operators, Semigroups, Algebras and Function Theory. IWOTA 2021. Operator Theory: Advances and Applications, vol 292, pp. 1-26 (2023)
We consider two $C_0$-semigroups $(e^{tA})_{t \ge 0}$ and $(e^{tB})_{t \ge 0}$ on function spaces (or, more generally, on Banach lattices) and analyse eventual domination between them in the sense that $|e^{tA}f| \le e^{tB}|f|$ for all sufficiently l
Externí odkaz:
http://arxiv.org/abs/2204.00146