Constructions of groups and semihypergroups of transformation operators
| Autoři | |
|---|---|
| Rok publikování | 2019 |
| Druh | Článek ve sborníku |
| Konference | Mathematics, Information Technologies and Applied Sciences 2019 (post-conference proceedings of extended versions of selected papers) |
| Fakulta / Pracoviště MU | |
| Citace | |
| Klíčová slova | Vector space; vectors of continuous functions; semigroup; hypergroup. |
| Popis | There is constructed a noncommutative group and its certain normal subgroup from the vector space, vectors of which are formed by continuous real functions of one variable. Then we describe constructions of a noncommutative semihypergroup based on so called Ends lemma and a commutative hypergroup using upper ends of its ordered support. The presented construction can serve for investigation of linear differential operators of the n th order and solution spaces of n th order homogeneous linear differential equations. |