Operators on anti-dual pairs: Generalized Schur complement
Functional Analysis
2020-02-06 v1
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.
Cite
@article{arxiv.2002.01714,
title = {Operators on anti-dual pairs: Generalized Schur complement},
author = {Zsigmond Tarcsay and Tamás Titkos},
journal= {arXiv preprint arXiv:2002.01714},
year = {2020}
}
Comments
15 pages