| Journal: | Proyecciones (Antofagasta) |
| Database: | PERIÓDICA |
| System number: | 000406114 |
| ISSN: | 0716-0917 |
| Authors: | Oudghiri, Mourad1 Souilah, Khalid1 |
| Institutions: | 1Universite Mohammed Premier, Faculte des Sciences, Oujda. Marruecos |
| Year: | 2016 |
| Season: | Sep |
| Volumen: | 35 |
| Number: | 3 |
| Pages: | 301-316 |
| Country: | Chile |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | Let B(H) be the algebra of all bounded linear operators on an infinite-dimensional Hilbert space H. We prove that if Φ is a surjective map on B(H) such that Φ(I) = I + Φ(0) and for every pair T,S ∈ B(H), the operator T − S is singular algebraic if and only if Φ(T) − Φ(S) is singular algebraic, then Φ is either of the form Φ(T) = AT A−1 + Φ(0) or the form Φ(T) = AT ∗A−1 + Φ(0) where A : H → H is an invertible bounded linear, or conjugate linear, operator |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Teoría de operadores, Operadores lineales, Teoría de perturbaciones |
| Keyword: | Mathematics, Pure mathematics, Operator theory, Linear operators, Perturbation theory |
| Full text: | Texto completo (Ver PDF) |
