Constructions of groups and semihypergroups of transformation operators
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Proceedings |
| Conference | Mathematics, Information Technologies and Applied Sciences 2019 (post-conference proceedings of extended versions of selected papers) |
| MU Faculty or unit | |
| Citation | |
| Keywords | Vector space; vectors of continuous functions; semigroup; hypergroup. |
| Description | 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. |