Informace o publikaci

Constructions of groups and semihypergroups of transformation operators

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BERÁNEK Jaroslav CHVALINA Jan

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

Pedagogická fakulta

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.

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