Tarcsay, Zsigmond and Titkos, Tamás (2020) Operators on Anti-Dual Pairs: Generalized Schur Complement. LINEAR ALGEBRA AND ITS APPLICATIONS. pp. 1-19. ISSN 0024-3795
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Official URL: http://doi.org/10.1016/j.laa.2020.02.031
Abstract
The goal of this paper is to develop the theory of Schur complementation in the context of operators acting on anti-dual pairs. As a byproduct, we obtain a natural generalization of the parallel sum and parallel difference, as well as the Lebesgue-type decomposition. To demonstrate how this operator approach works in application, we derive the corresponding results for operators acting on rigged Hilbert spaces, and for representable functionals of ⁎-algebras.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 18 Aug 2020 11:15 |
| Last Modified: | 18 Aug 2020 11:15 |
| URI: | http://real.mtak.hu/id/eprint/112309 |
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