In this paper, we characterize the perturbations of the Moore-Penrose metric generalized inverse of closed operator in Banach spaces. Under the condition R(δT) ⊂ R(T), N(T) ⊂ N(δT), respectively, we get some new results about upper-bound estimates of (norm of matrix) and TM(norm of matrix) and (norm of matrix) TM - TM(norm of matrix).
- Banach space
- Closed operator
- Moore-Penrose metric generalized inverse
ASJC Scopus subject areas
- Algebra and Number Theory