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On an Elementary Proof of the Stone-Weierstrass Theorem and Some Extensions
| Content Provider | Scilit |
|---|---|
| Author | Brosowski, Bruno |
| Copyright Year | 2020 |
| Description | In this paper we give an elementary proof of the approximate continuous partition of unit on a compact Hausdorff-space using results developed in [2]. With the aid of this result we give a proof of the well-known localizability theorem for A-modules in C[T,E]. Using a similar but less elementary method we derive a localizability theorem in the case of approximation of elements in C[T,E] by certain sequences of linear operators. Book Name: Functional Analysis, Holomorphy, and Approximation Theory |
| Related Links | https://api.taylorfrancis.com/content/chapters/edit/download?identifierName=doi&identifierValue=10.1201/9781003072577-1&type=chapterpdf |
| Ending Page | 9 |
| Page Count | 9 |
| Starting Page | 1 |
| DOI | 10.1201/9781003072577-1 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-12-22 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Functional Analysis, Holomorphy, and Approximation Theory Theorem Elementary Proof Hausdorff Weierstrass Compact Partition Localizability |
| Content Type | Text |
| Resource Type | Chapter |
