Densely hereditarily hypercyclic sequences and large hypercyclic manifolds期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Densely hereditarily hypercyclic sequences and large hypercyclic manifolds

Authors:	Luis Bernal-Gonzá lez

Affiliation:	Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, Sevilla 41080, Spain

Abstract:	We prove in this paper that if $(T_{n})$ is a hereditarily hypercyclic sequence of continuous linear mappings between two topological vector spaces and , where is metrizable, then there is an infinite-dimensional linear submanifold of such that each non-zero vector of is hypercyclic for $(T_{n})$ . If, in addition, is metrizable and separable and $(T_{n})$ is densely hereditarily hypercyclic, then can be chosen dense.

Keywords:	Hypercyclic vector linear operator densely hereditarily hypercyclic sequence infinite-dimensional manifold dense manifold metrizable topological vector space entire function of subexponential type Runge domain infinite order linear differential operator

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