Results 91 to 100 of about 1,093 (132)
F-hypercyclic operators on Fréchet spaces
We investigate F-hypercyclicity of linear, not necessarily continuous, operators on Frechet spaces. The notion of lower (mn)-hypercyclicity seems to be new and not considered elsewhere even for linear continuous operators acting on Frechet spaces.
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Some characterizations of disjoint topological transitivity on Orlicz spaces. [PDF]
Chen CC, Du WS.
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On Cesaro-Hypercyclic Operators
In this paper we characterize some properties of the Cesaro-Hypercyclic and mixing operators. At the same time, we also give a Cesaro-Hypercyclicity criterion and offer an example of this criterion.
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On numerically hypercyclic operators
According to Kim, Peris and Song, a continuous linear operator $T$ on a complex Banach space $X$ is called {\it numerically hypercyclic} if the numerical orbit $\{f(T^nx):n\in\N\}$ is dense in $\C$ for some $x\in X$ and $f\in X^*$ satisfying $\|x\|=\|f\|=f(x)=1$. They have characterized numerically hypercyclic weighted shifts and provided an example of
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Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates. [PDF]
Bratus AS +2 more
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Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems. [PDF]
Szilágyi A +5 more
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Hypercyclic operators on Hilbert C*-modules
In this paper we characterize hypercyclic generalized bilateral weighted shift operators on the standard Hilbert module over the C*-algebra of compact operators on the separable Hilbert space. Moreover, we give necessary and sufficient conditions for these operators to be chaotic and we provide concrete examples.
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Analytic hypercyclic operators
Z. H. Mozhyrovska, A. V. Zagorodnyuk
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