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Weighted operator least squares problems and the J-trace in Krein spaces (1902.04492v1)
Published 12 Feb 2019 in math.FA
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.