Results 11 to 20 of about 216 (102)
Journal of Functional Analysis, 2015 We characterize the subsets $\Gamma$ of $\C$ for which the notion of $\Gamma$-supercyclicity coincides with the notion of hypercyclicity, where an operator $T$ on a Banach space $X$ is said to be $\Gamma$-supercyclic if there exists $x\in X$ such that $\overline{\text{Orb}}(\Gamma x, T)=X$.
Charpentier, Stéphane +2 more
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On Weak Supercyclicity I [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2018 This paper provides conditions (i) to distinguish weak supercyclicity form supercyclicity for operators acting on normed and Banach spaces, and also (ii) to ensure when weak supercyclicity implies weak stability.
Kubrusly, Carlos S., Duggal, Bhagwati P.
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Supercyclicity and weighted shifts [PDF]
Studia Mathematica, 1999 After introducing the notion of cyclicity, hypercyclicity and supercyclicity the author presents a sufficient criterion for supercyclicity in Fréchet spaces along with some of its consequences. These results are used for characterizing the supercyclic bilateral shifts in terms of their weight sequences.
Salas, Héctor N.
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Disjoint Supercyclic Weighted Shifts
Integral Equations and Operator Theory, 2016 Let \(T_1, \dots, T_N\) be \(N\) continuous linear operators acting on the same topological vector space \(X\). They are said to be disjoint hypercyclic (respectively, disjoint supercyclic) or \(d\)-hypercyclic (respectively, \(d\)-supercyclic) if there exists a vector \(x\) in \(X\) such that the vector \((x,\dots, x)\) is a hypercyclic vector ...
Martin, Özgür, Sanders, Rebecca
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Supercyclicity with Respect to a Sequence on Special Sequence Spaces
Journal of Mathematical Extension, 2007 Let {β(n)}∞ n=−∞ be a sequence of positive numbers such that β(0) = 1 and let 1 < p < ∞. We consider the space of all formal Laurent series f(z) = P∞ n=−∞ ˆf(n)z n such that X∞ n=−∞ | ˆf(n)| pβ(n) p < ∞.
S. Foroutan, and B. Yousef, J. Doroodgar
doaj +1 more source
Weakly Hypercyclic Composition Operators on some Hilbert Spaces of Analytic Functions
Journal of Mathematical Extension, 2013 In this paper, weakly supercyclicity and weakly hypercyclicity of composition operators on some Hilbert spaces of analytic functions, especially on some weighted Hardy spaces are investigated.
Z. Kamali
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Non‐Diskcyclicity of Bounded Composition Operators on the Little Bloch Space and the Besov Space
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we show that there are no diskcyclic composition operators on the little Bloch space ℬ0 and the Besov spaces Bp.
Hang Zhou +2 more
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The topological and geometric behaviors of the variable exponent formal power series space, as well as the prequasi‐ideal construction by s‐numbers and this function space of complex variables, are investigated in this article. Upper bounds for s‐numbers of infinite series of the weighted nth power forward and backward shift operator on this function ...
Awad A. Bakery +2 more
wiley +1 more source
The Ring‐Opening Polymerization–Polycondensation (ROPPOC) Approach to Cyclic Polymers
Macromolecular Rapid Communications, Volume 41, Issue 14, July 2020., 2020 Ring‐opening polymerization combined with simultaneous polycondensation (ROPPOC) is a new group of polymerizations that enables access to various classes of cyclic polymers such as polypeptides, biodegradable polyesters, polyamides, and polysiloxanes. Abstract A new concept called ring‐opening polymerization–polycondensation (ROPPOC) is presented and ...
Hans R. Kricheldorf, Steffen M. Weidner
wiley +1 more source
On weak supercyclicity II [PDF]
, 2018 summary:This paper considers weak supercyclicity for bounded linear operators on a normed space. On the one hand, weak supercyclicity is investigated for classes of Hilbert-space operators: (i) self-adjoint operators are not weakly supercyclic, (ii ...
Kubrusly, Carlos S., Duggal, Bhagwati P.
core +1 more source