Operator least squares problems and Moore-Penrose inverses in Krein spaces

Maximiliano Contino, Alejandra Maestripieri, Stefania Marcantognini

A Krein space H and bounded linear operators B, C on H are given. Then, some min and max problems about the operators (BX - C)^{#}(BX -C), where X runs over the space of all bounde…