Artículos de revistas
On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions
Fecha
2015-01Registro en:
Silva, Luis O.; Toloza, Julio Hugo; On dB spaces with nondensely defined multiplication operator and the existence of zero-free functions; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 421; 2; 1-2015; 996-1005
0022-247X
CONICET Digital
CONICET
Autor
Silva, Luis O.
Toloza, Julio Hugo
Resumen
In this work we consider de Branges spaces where the multiplication operator by the independent variable is not densely defined. First, we study the canonical selfadjoint extensions of the multiplication operator as a family of rank-one perturbations from the viewpoint of the theory of de Branges spaces. Then, on the basis of the obtained results, we provide new necessary and sufficient conditions for a real, zero-free function to lie in a de Branges space.