Farkas, Bálint and Matolcsi, Máté (2003) Positive forms on Banach spaces. ACTA MATHEMATICA HUNGARICA, 99 (1-2). pp. 43-55. ISSN 0236-5294
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Official URL: http://dx.doi.org/10.1023/A:1024501211008
Abstract
The first representation theorem establishes a correspondence between positive, self-adjoint operators and closed, positive forms on Hilbert spaces. The aim of this paper is to show that some of the results remain true if the underlying space is a reflexive Banach space. In particular, the construction of the Friedrichs extension and the form sum of positive operators can be carried over to this case.
| Item Type: | Article |
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| Uncontrolled Keywords: | sesquilinear forms; Self-adjoint operators; Friedrichs extension; covariance operators; Banach Spaces |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 10 Dec 2013 15:30 |
| Last Modified: | 10 Dec 2013 15:30 |
| URI: | http://real.mtak.hu/id/eprint/7983 |
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