Zobrazeno 1 - 10
of 722
pro vyhledávání: '"47A16"'
Autor:
Abbar, Arafat, Costa Jr, Fernando
We study the existence of algebras of hypercyclic vectors for weighted backward shifts on sequence spaces of directed trees with the coordinatewise product. When $V$ is a rooted directed tree, we show the set of hypercyclic vectors of any backward we
Externí odkaz:
http://arxiv.org/abs/2411.14609
Given a Furstenberg family F and a subset {\Gamma} of C, we introduce and explore the notions of F_{\Gamma}-hypercyclic operator and F-hypercyclic scalar set. First, the study of F_C-hypercyclic operators yields new interesting information about freq
Externí odkaz:
http://arxiv.org/abs/2411.03179
In this work, we study the composition operators on the little Lipschitz space ${\mathcal L}_0$ of a rooted tree $T$ defined as the subspace of the Lipschitz space ${\mathcal L}$, introduced in Colonna and Easley [4], that consists of the complex-val
Externí odkaz:
http://arxiv.org/abs/2410.14714
Autor:
Felder, Christopher
This work studies collections of Hilbert space operators which possess a strict monoid structure under composition. These collections can be thought of as discrete unital semigroups for which no subset of the collection is closed under composition (a
Externí odkaz:
http://arxiv.org/abs/2409.16489
Autor:
Bonet, José
Continuity, compactness, the spectrum and ergodic properties of Ces\`aro operators are investigated when they act on the space $VH(\mathbb{D})$ of analytic functions with logarithmic growth on the open unit disc $\mathbb{D}$ of the complex plane. The
Externí odkaz:
http://arxiv.org/abs/2409.11371
Autor:
Sampat, Jeet
In this survey, we consider Banach spaces of analytic functions in one and several complex variables for which: (i) polynomials are dense, (ii) point-evaluations on the domain are bounded linear functionals, and (iii) the shift operator corresponding
Externí odkaz:
http://arxiv.org/abs/2409.10224
We construct entire curves in projective spaces that are simultaneously frequently hypercyclic for translations along countably many specified directions, while preserving optimal slow growth rates. Moreover, we demonstrate that there do not exist en
Externí odkaz:
http://arxiv.org/abs/2409.08048
We obtain Wiman-Valiron type inequalities for random entire functions and for random analytic functions on the unit disk that improve a classical result of Erd\H{o}s and R\'enyi and recent results of Kuryliak and Skaskiv. Our results are then applied
Externí odkaz:
http://arxiv.org/abs/2409.04235
We investigate a generalization of weighted shifts where each weight $w_k$ is replaced by an operator $T_k$ going from a Banach space $X_k$ to another one $X_{k-1}$. We then look if the obtained shift operator $B_{(T_k)}$ defined on the $\ell^p$-sum
Externí odkaz:
http://arxiv.org/abs/2408.11153
Autor:
Bes, Juan, Foster, Christopher
We study the dynamic behaviour of (weighted) composition operators on the space of holomorphic functions on a plane domain. Any such operator is hypercyclic if and only if it is topologically mixing, and when the symbol is automorphic, such an operat
Externí odkaz:
http://arxiv.org/abs/2408.05600