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Order structure, multipliers, and Gelfand representation of vector-valued function algebras |
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| Author: | Arhippainen, Jorma1; Kauppi, Jukka1; Mattas, Jussi1 |
| Organizations: |
1Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, SF 90014 Oulun yliopisto, Finland |
| Format: | article |
| Version: | accepted version |
| Access: | open |
| Online Access: | PDF Full Text (PDF, 0.4 MB) |
| Persistent link: | http://urn.fi/urn:nbn:fi-fe2019060418398 |
| Language: | English |
| Published: |
Duke University Press,
2017
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| Publish Date: | 2019-06-04 |
| Description: |
AbstractWe continue the study begun by the third author of \(C^*\)-Segal algebra valued function algebras, with an emphasis on the order structure. Our main result is a characterization theorem for \(C^*\)-Segal algebra valued function algebras with an order unitization. As an intermediate step, we establish a function algebraic description of the multiplier module of arbitrary Segal algebra valued function algebras. We also consider Gelfand representation of these algebras in the commutative case. see all
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| Series: |
Banach journal of mathematical analysis |
| ISSN: | 1735-8787 |
| ISSN-E: | 1735-8787 |
| ISSN-L: | 1735-8787 |
| Volume: | 11 |
| Issue: | 1 |
| Pages: | 207 - 222 |
| DOI: | 10.1215/17358787-3784682 |
| OADOI: | https://oadoi.org/10.1215/17358787-3784682 |
| Type of Publication: |
A1 Journal article – refereed |
| Field of Science: |
111 Mathematics |
| Subjects: | |
| Funding: |
The third author would like to thank the Magnus Ehrnrooth Foundation for financial support. |
| Copyright information: |
© 2017 Tusi Mathematical Research Group and Duke University Press. The final publication is available at https://projecteuclid.org/euclid.bjma/1481274115 |