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Actions of a multiplicative hypergroup of positive smooth functions on vector spaces of continuous functions

NOVÁK, M. Actions of a multiplicative hypergroup of positive smooth functions on vector spaces of continuous functions. In XXVI International Colloquium on the Management of Educational Process. Proceedings [CD-ROM]. Brno: Univerzita obrany, 2008. p. 1-5. ISBN: 978-80-7231-511-6.
Type
conference paper
Language
English
Authors
Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Abstract

In a recently published article by Chvalina and Račková a hypergroup (or rather, a join space) of smooth functions is constructed and an example of action of the join space on the transposition hypergroup of second order linear differential operators is included. This contribution expands the results obtained in the article by constructing another hypergroup of smooth functions. Even though some restrictions must be applied (only positive smooth functions are considered), actions of the constructed hypergroup on n-dimensional vector spaces of continuous functions may be proposed.

Keywords

smooth function, hypergroup

Published
2008
Pages
1–5
Proceedings
XXVI International Colloquium on the Management of Educational Process. Proceedings [CD-ROM].
Conference
XXVI. International Colloquium on the Management of Education Process
ISBN
978-80-7231-511-6
Publisher
Univerzita obrany
Place
Brno
BibTeX 
@inproceedings{BUT26589,
  author="Michal {Novák}",
  title="Actions of a multiplicative hypergroup of positive smooth functions on vector spaces of continuous functions",
  booktitle="XXVI International Colloquium on the Management of Educational Process. Proceedings [CD-ROM].",
  year="2008",
  pages="1--5",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7231-511-6"
}
Departments
Department of Mathematics (UMAT)
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