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On Pták functions for bounded operators
- Source :
- Le Matematiche, Vol 69, Iss 2, Pp 237-242 (2014)
- Publication Year :
- 2014
- Publisher :
- Università degli Studi di Catania, 2014.
-
Abstract
- 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.
Details
- Language :
- English, French, Italian
- ISSN :
- 03733505 and 20375298
- Volume :
- 69
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Le Matematiche
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.04f25940b9ac4308ab5822f429a7e917
- Document Type :
- article