Fredholm stability results for linear combinations of m-potent operators
Yang Zhong-peng, Xiaoxia Feng, Meixiang Chen, Chunyan Deng, J. J. Koliha · Operators and Matrices · 2012
We investigate the stability of the nullity, defect and index of linear combinations uA + vB of generalized quadratic operators, extending in several directions the recent results of Gau, Wang and Wong (Oper. Matrices 2 (2008), 193-199), and of commuting scalar m -potent operators. For the latter case we prove that the nullspaces of uA + vB themselves are also stable.