On Pták functions for bounded operators
| Autor: | Abdellah El Kinani |
|---|---|
| Jazyk: | English<br />French<br />Italian |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Le Matematiche, Vol 69, Iss 2, Pp 237-242 (2014) |
| Druh dokumentu: | article |
| ISSN: | 0373-3505 2037-5298 |
| Popis: | The purpose of this paper is to prove that if the Pták function p is an operator norm, on \mathcal{B}(E), associated to a norm | . |, then (E, | . |) is a pseudo-Hilbert space. As a consequence, we obtain that if \mathcal{B}(E) is a C*-algebra, then E is a Hilbert space. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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