| Autor: |
MESSIRDI, SO., MESSIRDI, SA., MESSIRDI, B. |
| Předmět: |
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| Zdroj: |
Matematychni Studii; 2020, Vol. 54 Issue 1, p98-106, 9p |
| Abstrakt: |
In this paper we present some new characteristics and expressions of left and right generalized Drazin invertible bounded operators on a Banach space x. An explicit formula relating the left and the right generalized Drazin inverses to spectral idempotents is provided. In addition, we give a characterization of operators in B1(X) (resp. Br(X)) with equal spectral idempotents, where B1(X) (resp. Br(X)) denotes the set of all left (resp. right) generalized Drazin invertible bounded operators on x. Next, we give some sufficient conditions which ensure that the product of elements of B1(X) (resp. Br (X)) remains in B1(X) (resp. Br (X)). Finally, we extend Jacobson's lemma for left and right generalized Drazin invertibility. The provided results extend certain earlier works given in the literature. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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