@article{(Open Science Index):https://publications.waset.org/pdf/10010032, title = {Stability of Property (gm) under Perturbation and Spectral Properties Type Weyl Theorems}, author = {M. H. M. Rashid}, country = {}, institution = {}, abstract = {A Banach space operator T obeys property (gm) if the isolated points of the spectrum σ(T) of T which are eigenvalues are exactly those points λ of the spectrum for which T − λI is a left Drazin invertible. In this article, we study the stability of property (gm), for a bounded operator acting on a Banach space, under perturbation by finite rank operators, by nilpotent operators, by quasi-nilpotent operators, or more generally by algebraic operators commuting with T.}, journal = {International Journal of Physical and Mathematical Sciences}, volume = {13}, number = {2}, year = {2019}, pages = {34 - 39}, ee = {https://publications.waset.org/pdf/10010032}, url = {https://publications.waset.org/vol/146}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 146, 2019}, }