Sebestyén, Zoltán and Tarcsay, Zsigmond and Titkos, Tamás (2015) A short-type decomposition of forms. OPERATORS AND MATRICES, 9 (4). pp. 815-830. ISSN 1846-3886
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Abstract
The main purpose of this paper is to present a decomposition theorem for nonnegative sesquilinear forms. The key notion is the short of a form to a linear subspace. This is a generalization of the well-known operator short defined by M. G. Krein. A decomposition of a form into a shorted part and a singular part (with respect to an other form) will be called short-type decomposition. As applications, we present some analogous results for bounded positive operators acting on a Hilbert space; for additive set functions on a ring of sets; and for representable positive functionals on a * -algebra. © Zagreb.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Singularity; Positive operators; Nonnegative forms; Lebesgue decomposition; Generalized short; ABSOLUTE CONTINUITY |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 17 Feb 2016 13:41 |
| Last Modified: | 17 Feb 2016 13:41 |
| URI: | http://real.mtak.hu/id/eprint/33707 |
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