Spectral Properties of Perturbed Operator

• Main Author: Yudhi
• Format: Theses
• Language: Indonesia
• Subjects: Matematika
• Online Access: https://digilib.itb.ac.id/gdl/view/33762
• Institution: Institut Teknologi Bandung

The perturbed operators is given disturbance (perturbation). One of the problems in perturbation theory is to nd the relationship between the eigenvalues and eigenvectors operator which are given perturbation with eigenvalues and eigenvectors are perturbed operator. In [5] have determined the upper bound of the norm perturbation, then [9] generalization with reduce the upper bound of the norm perturbation. Let T close operator on Banach space X with domain dense in X and V bounded operators in X, then T + V perturbed operator and V is perturbation. The upper bound of the norm V will be sought so that for every r > 0, the operator perturbed T + V has a unique eigenpair who are in a disc. The perturbed operator T + V has a eigenpair (; ) unique, for every r > 0 and V 2 L(X) satises kV k r c0kS0k(1 + r)2 , where c0 = max fkP0k; kI ???? P0kg.