Representations for the pseudo Drazin inverse of elements in a Banach algebra

In this paper, we investigate the pseudo Drazin invertibility of the sum and the product of elements in a Banach algebra {A}. Given pseudo Drazin invertible elements a and b such that a2b=aba and b2a=bab, it is shown that ab is pseudo Drazin invertible and a+b is pseudo Drazin invertible if and only...

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Bibliographic Details
Main Author: Zhu, Huihui (author)
Other Authors: Chen, Jianlong (author), Patrício, Pedro (author)
Format: article
Language:eng
Published: 2015
Subjects:
Online Access:http://hdl.handle.net/1822/32355
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/32355