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Filbir, F. ; Lasser, R. ; Szwarc, R.*

Reiter’s condition P1 and approximate identities for polynomial hypergroups.

Monatsh. Math. 143, 189-203 (2004)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
Let K be a commutative hypergroup with the Haar measure . In the present paper we investigate whether the maximal ideals in L1ðK; Þ have bounded approximate identities. We will show that the existence of a bounded approximate identity is equivalent to the existence of certain functionals on the space L1ðK; Þ. Finally we apply the results to polynomial hypergroups and obtain a rather complete solution for this class.
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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords hypergroups; approximate identities; orthogonal polynomials
ISSN (print) / ISBN 0026-9255
Journal Monatshefte für Mathematik
Quellenangaben Volume: 143, Issue: 3, Pages: 189-203 Article Number: , Supplement: ,
Publisher Universität Wien
Non-patent literature Publications
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)