Values of limit periodic sequences and functions
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Mathematica Slovaca |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1515/ms-2015-0114 |
| Field | General mathematics |
| Keywords | limit periodic sequences; limit periodic functions; almost periodicity; asymptotic almost periodicity |
| Description | We consider limit periodic sequences and functions with values in pseudometric spaces. We construct limit periodic sequences and functions with given values. For any totally bounded countable set, we find a limit periodic sequence which attains each value from this set periodically. A corresponding result concerning such a construction of limit periodic functions is proved as well. For any totally bounded countable set which is dense in itself, we construct a limit periodic bijective map from the integers into this set. As corollaries, we obtain new results about non-almost periodic solutions of almost periodic transformable difference systems. |
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