4 papers
math.FA2025
The generalized and pseudo -strong Drazin inverse of the sum of elements in Banach algebras
Rounak Biswas, Falguni Roy
In this paper, we begin by introducing some necessary and sufficient conditions for generalized -strong Drazin invertibility (gs-invertibility) and pseudo -strong Drazin i…
math.FA2024
Drazin and g-Drazin invertibility of combinations of three Banach algebra elements
Rounak Biswas, Falguni Roy
Consider a complex unital Banach algebra For in this paper, we establish that under certain assumptions on , Drazin (resp.…
math.FA2024
Drazin and group invertibility in algebras spanned by two idempotents
Rounak Biswas, Falguni Roy
For two given idempotents from an associative algebra in this paper, we offer a comprehensive classification of algebras spanned by the idempotents…
math.FA2023
Additive and multiplicative properties of Drazin inverse under new weakly commutativity condition
Rounak Biswas, Falguni Roy
Given a complex Banach space , let be the collection of all bounded linear operators on For we define are -weakly commutati…