Results 11 to 20 of about 98 (84)
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
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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
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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
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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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Mega-earthquake supercycle [PDF]
Science, 2017 Geophysics![Figure][1] Aftermath of the 2016 magnitude 7.8 Pedernales earthquake in Ecuador PHOTO: ASSOCIATED PRESS The recent magnitude 7.8 Pedernales earthquake in Ecuador killed nearly 700 people and caused widespread destruction. Nocquet et al. also thought it looked rather familiar.
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Studia Mathematica, 2002 Let \(T: H\to H\) be a continuous linear operator on a separable Hilbert space. The orbit of a subset \(C\) of \(H\) under \(T\) is the union of the sets \(C,T(C),T^2(C),\dots\)\ . For a natural number \(n\), an operator is called \(n\)-supercyclic if there is an \(n\)-dimensional subspace of \(H\) whose orbit under \(T\) is dense in \(H\).
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Denseness of sets of supercyclic vectors [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2020 The sets of strongly supercyclic, weakly l-sequentially supercyclic, weakly sequentially supercyclic, and weakly supercyclic vectors for an arbitrary normed-space operator are all dense in the normed space, regardless the notion of denseness one is considering, provided they are nonempty.
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An Extension of Hypercyclicity for N‐Linear Operators
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Grosse‐Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N‐linear operators that is inspired by difference equations. Under this new notion, every separable infinite dimensional Fréchet space supports supercyclic N‐linear ...
Juan Bès +2 more
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n-supercyclic and strongly n-supercyclic operators in finite dimensions [PDF]
Studia Mathematica, 2014 We prove that on $\mathbb{R}^n$, there is no $N$-supercyclic operator with $1\leq N< \lfloor \frac{n+1}{2}\rfloor$ i.e. if $\mathbb{R}^n$ has an $N$ dimensional subspace whose orbit under $T$ is dense in $\mathbb{R}^n$, then $N$ is greater than $\lfloor\frac{n+1}{2}\rfloor$. Moreover, this value is optimal.
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Powers of Convex‐Cyclic Operators
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 A bounded operator T on a Banach space X is convex cyclic if there exists a vector x such that the convex hull generated by the orbit Tnxn≥0 is dense in X. In this note we study some questions concerned with convex‐cyclic operators. We provide an example of a convex‐cyclic operator T such that the power Tn fails to be convex cyclic.
Fernando León-Saavedra +2 more
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