info:eu-repo/semantics/article
Products of projections and self-adjoint operators
Fecha
2018-10Registro en:
Arias, Maria Laura; Gonzalez, Maria Celeste; Products of projections and self-adjoint operators; Elsevier Science Inc; Linear Algebra and its Applications; 555; 10-2018; 70-83
0024-3795
CONICET Digital
CONICET
Autor
Arias, Maria Laura
Gonzalez, Maria Celeste
Resumen
Let H be a Hilbert space and L(H) be the algebra of all bounded linear operators from H to H. Our goal in this article is to study the set P⋅Lh of operators in L(H) that can be factorized as the product of an orthogonal projection and a self-adjoint operator. We describe P⋅Lh and present optimal factorizations, in different senses, for an operator in this set.