F-hypercyclic operators on Fréchet spaces | Zendy

Marko Kostić | Zendy

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F-hypercyclic operators on Fréchet spaces

Author(s) -

Marko Kostić

Publication year - 2019

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1920001k

Subject(s) - mathematics , fréchet space , section (typography) , linear operators , pure mathematics , discrete mathematics , interpolation space , functional analysis , mathematical analysis , computer science , biochemistry , chemistry , bounded function , gene , operating system

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. We pay special attention to the study of q-frequent hypercyclicity, where q > 1 is an arbitrary real number. We present several new concepts and results for lower and upper densities in a separate section, providing also a great number of illustrative examples and open problems.

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