Open AccessThe p-Drazin inverse for operator matrix over Banach algebras
Author(s) -
Huanyin Chen,
Haifeng Zou,
Tugce Calci Pekacar,
Handan Köse
Publication year - 2020
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/fil2014597c
Subject(s) - drazin inverse , mathematics , banach algebra , operator (biology) , inverse , block (permutation group theory) , matrix (chemical analysis) , spectrum (functional analysis) , pure mathematics , element (criminal law) , banach space , algebra over a field , combinatorics , geometry , biochemistry , chemistry , physics , repressor , quantum mechanics , political science , transcription factor , law , gene , materials science , composite material
An element a in a Banach algebra A has p-Drazin inverse provided that there exists b ? comm(a) such that b = b2a,ak-ak+1b?J(A) for some k ? N. In this paper, we present new conditions for a block operator matrix to have p-Drazin inverse. As applications, we prove the p-Drazin invertibility of the block operator matrix under certain spectral conditions.