A classification of projectors

• Autorzy: Gustavo Corach , Alejandra Maestripieri , Demetrio Stojanoff
• Języki publikacji: EN

Abstrakty

EN

A positive operator A and a closed subspace 𝓢 of a Hilbert space ℋ are called compatible if there exists a projector Q onto 𝓢 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(𝓢) and the orthogonal of 𝓢.

Kategorie tematyczne

• 47A07: Forms (bilinear, sesquilinear, multilinear)
• 46C99: None of the above, but in this section
• 47A64: Operator means, shorted operators, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 67
• Numer: 1
• Strony: 145-160

Daty

wydano

2005

Twórcy

autor

Gustavo Corach

• Departamento de Matemática, FI-UBA, and IAM-CONICET, Buenos Aires, Argentina

autor

Alejandra Maestripieri

• Instituto de Ciencias, UNGS, San Miguel, Argentina

autor

Demetrio Stojanoff

• Departamento de Matemática, FCE-UNLP, La Plata, Argentina

Identyfikatory

DOI

10.4064/bc67-0-12