Título inglés |
Some invariant subspaces for A-contractions and applications |
Título español |
Algunos subespacios invariantes para A-contracciones y aplicaciones. |
Autor/es |
Suciu, Laurian |
Organización |
Inst. "Camille Jordan" Univ. Claude Bernard Lyon 1, Villeurbanne, Francia |
Revista |
0213-8743 |
Publicación |
2006, 21 (3): 221-247, 12 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
Some invariant subspaces for the operators A and T acting on a Hilbert
space H and satisfying T*AT ≤ A and A ≥ 0, are presented. Especially, the largest invariant subspace for A and T on which the equality T* AT = A occurs, is studied in connections to others invariant or reducing subspaces for A, or T. Such subspaces are related to the asymptotic form of the subspace quoted above, this form being obtained using the operator limit of the sequence {T*nATn; n ≥ 1}. More complete results are given in the case when AT = A1/2TA1/2. Also, several applications for quasinormal operators are derived, involving their unitary, isometric and quasi-isometric parts, as well as their asymptotic behaviour. |
Clasificación UNESCO |
120200 |
Palabras clave español |
Teoría de operadores ; Operadores lineales ; Subespacio invariante ; Contracción |
Acceso al artículo completo |