IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
Weighted operator least squares problems and the J-trace in Krein spaces
Autor/es:
ALEJANDRA MAESTRIPIERI; CONTINO, MAXIMILIANO; MARCANTOGNINI, STEFANIA
Revista:
MATHEMATISCHE NACHRICHTEN
Editorial:
WILEY-V C H VERLAG GMBH
Referencias:
Lugar: Weinheim; Año: 2020 vol. 293 p. 1 - 16
ISSN:
0025-584X
Resumen:
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.
