Weighted projections into closed subspaces

G. Corach, G. Fongi, and A. Maestripieri. "Weighted projections into closed subspaces." Studia Mathematica 216.2 (2013): 131-148. <http://eudml.org/doc/285606>.

@article{G2013,
abstract = {We study A-projections, i.e. operators on a Hilbert space 𝓗 which act as projections when a seminorm is considered in 𝓗. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of 𝓗. We also study the relationship between weighted least squares problems and compatibility.},
author = {G. Corach, G. Fongi, A. Maestripieri},
journal = {Studia Mathematica},
keywords = {projections under seminorm; compatibility; weighted least squares problems},
language = {eng},
number = {2},
pages = {131-148},
title = {Weighted projections into closed subspaces},
url = {http://eudml.org/doc/285606},
volume = {216},
year = {2013},
}

TY - JOUR
AU - G. Corach
AU - G. Fongi
AU - A. Maestripieri
TI - Weighted projections into closed subspaces
JO - Studia Mathematica
PY - 2013
VL - 216
IS - 2
SP - 131
EP - 148
AB - We study A-projections, i.e. operators on a Hilbert space 𝓗 which act as projections when a seminorm is considered in 𝓗. The A-projections were introduced by Mitra and Rao (1974) for finite-dimensional spaces. We relate this concept to the theory of compatibility between positive operators and closed subspaces of 𝓗. We also study the relationship between weighted least squares problems and compatibility.
LA - eng
KW - projections under seminorm; compatibility; weighted least squares problems
UR - http://eudml.org/doc/285606
ER -