IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Jordan chains of linear operators under rank-one perturbations.
Autor/es:
FRANCISCO MARTÍNEZ PERÍA
Lugar:
Obergurgl
Reunión:
Workshop; Workshop on linear relations and extensión theory; 2014
Institución organizadora:
Technische Universität Graz
Resumen:
This talk is devoted to present a general result on the structure and dimension of the root subspaces of a linear operator under finite rank perturbations: The increase of dimension from the n-th power of the kernel of the perturbed operator to the (n + 1)-th power differs from the increase of dimension of the corresponding powers of the kernels of the unperturbed operator by at most the rank of the perturbation. Moreover, this bound is sharp.
