Weighted operator least squares problems and the J-trace in Krein spaces
Functional Analysis
2019-02-13 v1
Abstract
Given B, C and W operators in the algebra L(H) of bounded linear operators on the Krein space H, the minimization problem min (BX - C)^#W(BX - C), for X in L(H), is studied when the weight W is selfadjoint. The analogous maximization and min-max problems are also considered. Complete answers to these problems and to those naturally associated to trace clase operators on Krein spaces are given.
Cite
@article{arxiv.1902.04492,
title = {Weighted operator least squares problems and the J-trace in Krein spaces},
author = {Maximiliano Contino and Alejandra Maestripieri and Stefania Marcantognini},
journal= {arXiv preprint arXiv:1902.04492},
year = {2019}
}