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Gleason parts and
Choquet boundary points in convolution measure algebras
Richard Roy Miller |
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Vol. 31 (1969), No. 3, 755–771
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Abstract |
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Let M be a semisimple convolution measure algebra with structure semigroup S. Then each complex homomorphism of M is given by integrating a semicharacter on S. Gleason parts can be defined on Ŝ, the set of semicharacters on S, by considering the function algebra obtained from the transforms of elements of M. We give a partial characterization of the parts of Ŝ utilizing only the functional values of the elements of Ŝ. We then completely characterize the one point parts of Ŝ utilizing only the functional values of elements of Ŝ. |
Mathematical Subject Classification
Primary: 46.80
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Milestones
Received: 8 July 1969
Published: 1 December 1969
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Authors |
| Richard Roy Miller | |
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