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@inproceedings{1584256,
author = {Beránek, Jaroslav and Chvalina, Jan},
address = {Brno},
booktitle = {Mathematics, Information Technologies and Applied Sciences 2019 (post-conference proceedings of extended versions of selected papers)},
edition = {první},
editor = {Jaromír Baštinec, Miroslav Hrubý},
keywords = {Vector space; vectors of continuous functions; semigroup; hypergroup.},
howpublished = {paměťový nosič},
language = {eng},
location = {Brno},
isbn = {978-80-7582-123-2},
pages = {23-29},
publisher = {University of Defence, Brno, 2019},
title = {Constructions of groups and semihypergroups of transformation operators},
year = {2019}
}
TY - JOUR
ID - 1584256
AU - Beránek, Jaroslav - Chvalina, Jan
PY - 2019
TI - Constructions of groups and semihypergroups of transformation operators
PB - University of Defence, Brno, 2019
CY - Brno
SN - 9788075821232
KW - Vector space
KW - vectors of continuous functions
KW - semigroup
KW - hypergroup.
N2 - 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.
ER -
BERÁNEK, Jaroslav a Jan CHVALINA. Constructions of groups and semihypergroups of transformation operators. In Jaromír Baštinec, Miroslav Hrubý. \textit{Mathematics, Information Technologies and Applied Sciences 2019 (post-conference proceedings of extended versions of selected papers)}. první. Brno: University of Defence, Brno, 2019, 2019, s.~23-29. ISBN~978-80-7582-123-2.
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