A classification of projectors

Gustavo Corach, Alejandra Maestripieri, and Demetrio Stojanoff. "A classification of projectors." Banach Center Publications 67.1 (2005): 145-160. <http://eudml.org/doc/281796>.

@article{GustavoCorach2005,
abstract = {A positive operator A and a closed subspace of a Hilbert space ℋ are called compatible if there exists a projector Q onto such that AQ = Q*A. Compatibility is shown to depend on the existence of certain decompositions of ℋ and the ranges of A and $A^\{1/2\}$. It also depends on a certain angle between A() and the orthogonal of .},
author = {Gustavo Corach, Alejandra Maestripieri, Demetrio Stojanoff},
journal = {Banach Center Publications},
keywords = {oblique projectors; least square problems; scaled projectors; positive operators},
language = {eng},
number = {1},
pages = {145-160},
title = {A classification of projectors},
url = {http://eudml.org/doc/281796},
volume = {67},
year = {2005},
}

TY - JOUR
AU - Gustavo Corach
AU - Alejandra Maestripieri
AU - Demetrio Stojanoff
TI - A classification of projectors
JO - Banach Center Publications
PY - 2005
VL - 67
IS - 1
SP - 145
EP - 160
AB - A positive operator A and a closed subspace of a Hilbert space ℋ are called compatible if there exists a projector Q onto such that AQ = Q*A. Compatibility is shown to depend on the existence of certain decompositions of ℋ and the ranges of A and $A^{1/2}$. It also depends on a certain angle between A() and the orthogonal of .
LA - eng
KW - oblique projectors; least square problems; scaled projectors; positive operators
UR - http://eudml.org/doc/281796
ER -