Spain, P. G. (2013) Characterizations of Hilbert space and the Vidav-Palmer theorem. Rocky Mountain Journal of Mathematics, 43(4), pp. 1337-1354. (doi: 10.1216/RMJ-2013-43-4-1337)
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Abstract
New results in numerical range theory provide a much simplified proof of the Vidav-Palmer Theorem, leading to new proofs of Berkson’s characterizations of Hilbert space and of Ptak’s characterization of C∗-algebras.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Spain, Dr Philip |
| Authors: | Spain, P. G. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Rocky Mountain Journal of Mathematics |
| Publisher: | Rocky Mountain Mathematics Consortium |
| ISSN: | 0035-7596 |
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