Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals
Search results

Search: MSC category 47A16 ( Cyclic vectors, hypercyclic and chaotic operators )

 Expand all        Collapse all Results 1 - 3 of 3

1. CMB Online first

Chen, Chung-Chuan
 Recurrence of cosine operator functions on groups In this note, we study the recurrence and topologically multiple recurrence of a sequence of operators on Banach spaces. In particular, we give a sufficient and necessary condition for a cosine operator function, induced by a sequence of operators on the Lebesgue space of a locally compact group, to be topologically multiply recurrent. Keywords:topologically multiple recurrence, recurrence, topological transitivity, hypercyclicity, cosine operator functionCategories:47A16, 54B20, 43A15

2. CMB 2012 (vol 56 pp. 477)

Ayadi, Adlene
 Hypercyclic Abelian Groups of Affine Maps on $\mathbb{C}^{n}$ We give a characterization of hypercyclic abelian group $\mathcal{G}$ of affine maps on $\mathbb{C}^{n}$. If $\mathcal{G}$ is finitely generated, this characterization is explicit. We prove in particular that no abelian group generated by $n$ affine maps on $\mathbb{C}^{n}$ has a dense orbit. Keywords:affine, hypercyclic, dense, orbit, affine group, abelianCategories:37C85, 47A16

3. CMB 2008 (vol 51 pp. 378)

Izuchi, Kou Hei
 Cyclic Vectors in Some Weighted $L^p$ Spaces of Entire Functions In this paper, we generalize a result recently obtained by the author. We characterize the cyclic vectors in $\Lp$. Let $f\in\Lp$ and $f\poly$ be contained in the space. We show that $f$ is non-vanishing if and only if $f$ is cyclic. Keywords:weighted $L^p$ spaces of entire functions, cyclic vectorsCategories:47A16, 46J15, 46H25
 top of page | contact us | privacy | site map |

© Canadian Mathematical Society, 2016 : https://cms.math.ca/