# A classification of projectors

Gustavo Corach; Alejandra Maestripieri; Demetrio Stojanoff

Banach Center Publications (2005)

- Volume: 67, Issue: 1, page 145-160
- ISSN: 0137-6934

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topGustavo 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 -

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