INVESTIGADORES
FONGI Guillermina
artículos
Título:
Weighted projections into closed subspaces
Autor/es:
GUSTAVO CORACH; GUILLERMINA FONGI; ALEJANDRA MAESTRIPIERI
Revista:
STUDIA MATHEMATICA
Editorial:
POLISH ACAD SCIENCES INST MATHEMATICS
Referencias:
Lugar: VARSOVIA; Año: 2013 vol. 216 p. 131 - 148
ISSN:
0039-3223
Resumen:
In this paper we study $A$-projections, i.e. operators on a Hilbert space $HH$ which act as projections when a seminorm is considered in $HH$. The $A$-projections were introduced by Mitra and Rao cite{[MitRao74]} for finite dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of $HH$. We also study the relationship between weighted least squares problems and compatibility.