The Banach algebras AC(๐) and BV(๐)
The spaces BV(๐) and AC(๐) were introduced as part of a program to find a general theory which covers both well-bounded operators and trigonometrically well-bounded operators acting on a Banach space. Since their initial appearance it has become clear that the definitions could be simplified somewha...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2023
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| In: |
Results in mathematics
Year: 2023, Volume: 78, Pages: 1-34 |
| ISSN: | 1420-9012 |
| DOI: | 10.1007/s00025-022-01788-0 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00025-022-01788-0 Verlag, lizenzpflichtig, Volltext: https://link.springer.com/article/10.1007/s00025-022-01788-0 
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| Author Notes: | Ian Doust, Michael Leinert, and Alan Stoneham |
| Summary: | The spaces BV(๐) and AC(๐) were introduced as part of a program to find a general theory which covers both well-bounded operators and trigonometrically well-bounded operators acting on a Banach space. Since their initial appearance it has become clear that the definitions could be simplified somewhat. In this paper we give a self-contained exposition of the main properties of these spaces using this simplified approach. |
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| Item Description: | Gesehen am 27.01.2023 Published: 26 November 2022 |
| Physical Description: | Online Resource |
| ISSN: | 1420-9012 |
| DOI: | 10.1007/s00025-022-01788-0 |