F-hypercyclic operators on Fréchet spaces
2019 ◽
Vol 106
(120)
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pp. 1-18
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Keyword(s):
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.
Keyword(s):
Keyword(s):
2002 ◽
Vol 17
(15)
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pp. 2095-2111
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Keyword(s):
1998 ◽
Vol 159
(2)
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pp. 587-595
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2017 ◽
Vol 6
(4)
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pp. 109
Keyword(s):
2009 ◽
Vol 29
(5)
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pp. 1659-1668
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2020 ◽
Vol 12
(2)
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pp. 75-82
Keyword(s):
2009 ◽
Vol 42
(5)
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pp. 2696-2706
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