Weighted operator least squares problems and the J‐trace in Krein spaces

Maximiliano Contino, Alejandra Maestripieri and Stefania Marcantognini

Mathematische Nachrichten, 2020, vol. 293, issue 9, 1730-1745

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∈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.

Date: 2020
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https://doi.org/10.1002/mana.201900066

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