F-HYPERCYCLIC OPERATORS ON FRECHET

被引：3

作者：

Kostic, Marko ^{[1
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Novi Sad, Serbia

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2019年 / 106卷 / 120期

关键词：

F-hypercyclicity; (m(n))-hypercyclicity; q-frequent hypercyclicity; SEMIGROUPS; DENSITY;

D O I：

10.2298/PIM1920001K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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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页码：1 / 18

页数：18

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