Multiplicative linear functionals on convolution algebras
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- by Paul Aizley PDF
- Proc. Amer. Math. Soc. 28 (1971), 65-66 Request permission
Abstract:
It is shown that semicharacters on the semigroup $S$ lead in a natural way to multiplicative linear functionals on $l(S)$, the convolution algebra of all complex valued functions on $S$. A theorem of D. H. Lehmer and a theorem of M. Tainiter follow as special cases.References
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P. Aizley, Structure theory for a class of convolution algebras, University Microfilms, Order #69-16,475, Ann Arbor, Michigan.
- D. H. Lehmer, On a theorem of von Sterneck, Bull. Amer. Math. Soc. 37 (1931), no. 10, 723–726. MR 1562243, DOI 10.1090/S0002-9904-1931-05247-2
- M. Tainiter, Generating functions on idempotent semigroups with application to combinatorial analysis, J. Combinatorial Theory 5 (1968), 273–288. MR 231737
- Edwin Hewitt and Herbert S. Zuckerman, Finite dimensional convolution algebras, Acta Math. 93 (1955), 67–119. MR 77522, DOI 10.1007/BF02392520
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 65-66
- MSC: Primary 20.90
- DOI: https://doi.org/10.1090/S0002-9939-1971-0271248-6
- MathSciNet review: 0271248