Abstract
Idempotent structure of compact monothetic semitopological (separately continuous) semigroups is investigated by the methods of harmonic analysis. The pathology is shown to be arbitrarily bad in a sense made precise.
This is a preview of subscription content, log in via an institution to check access.
References
Brown, G. and W. Moran,Idempotents of compact monothetic semigroups, Proc. Lond. Math. Soc. 22 (1971), 203–216.
Johnson, B. E.,The Silov boundary of M(G), Trans. Amer. Math. Soc. 134 (1968), 289–296.
Taylor, J. L.,The Shilov boundary of the algebra of measures on a group, Proc. Amer. Math. Soc. 16 (1965), 941–945.
West, T. T.,Weakly compact monothetic semigroups of operators in Banach spaces, Proc. Roy. Irish Acad. Section A 67 (1968), 27–37.
Zygmund, A.,Trigonometric Series, Cambridge 1959.
Author information
Authors and Affiliations
Additional information
Communicated by Karl H. Hofmann
Rights and permissions
About this article
Cite this article
Brown, G., Moran, W. Idempotents in compact monothetic semigroups. Semigroup Forum 3, 270–274 (1971). https://doi.org/10.1007/BF02572965
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02572965