New extensions of Cline’s formula for generalized inverses | Zendy

Qingping Zeng | Zendy; Zhenying Wu | Zendy; Yongxian Wen | Zendy

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New extensions of Cline’s formula for generalized inverses

Author(s) -

Qingping Zeng,

Zhenying Wu,

Yongxian Wen

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1707973z

Subject(s) - mathematics , cline (biology) , drazin inverse , banach algebra , banach space , meromorphic function , inverse , pure mathematics , algebraic number , operator (biology) , algebra over a field , mathematical analysis , geometry , population , biochemistry , chemistry , demography , repressor , sociology , transcription factor , gene

In this paper, Cline's formula for the well-known generalized inverses such as Drazin inverse, pseudo Drazin inverse and generalized Drazin inverse is extended to the case when $\left\{ \begin{aligned} acd=dbd \ \\ dba=aca. \\ \end{aligned} \right.$ Also, applications are given to some interesting Banach space operator properties like algebraic, meromorphic, polaroidness and B-Fredholmness.

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