Trivial Jensen measures without regularity
In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point.
| Main Author: | |
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| Format: | Article |
| Published: |
1999
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| Online Access: | https://eprints.nottingham.ac.uk/14/ |
| _version_ | 1848790349021970432 |
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| author | Feinstein, Joel |
| author_facet | Feinstein, Joel |
| author_sort | Feinstein, Joel |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point. |
| first_indexed | 2025-11-14T18:11:12Z |
| format | Article |
| id | nottingham-14 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:11:12Z |
| publishDate | 1999 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-142020-05-04T20:33:07Z https://eprints.nottingham.ac.uk/14/ Trivial Jensen measures without regularity Feinstein, Joel In this note we construct Swiss cheeses X such that R(X) is non-regular but such that R(X) has no non-trivial Jensen measures. We also construct a non-regular uniform algebra with compact, metrizable character space such that every point of the character space is a peak point. 1999 Article NonPeerReviewed Feinstein, Joel (1999) Trivial Jensen measures without regularity. |
| spellingShingle | Feinstein, Joel Trivial Jensen measures without regularity |
| title | Trivial Jensen measures without regularity |
| title_full | Trivial Jensen measures without regularity |
| title_fullStr | Trivial Jensen measures without regularity |
| title_full_unstemmed | Trivial Jensen measures without regularity |
| title_short | Trivial Jensen measures without regularity |
| title_sort | trivial jensen measures without regularity |
| url | https://eprints.nottingham.ac.uk/14/ |