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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… Click to show full abstract
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.
Keywords:
drazin inverse;
banach;
operator matrix
Journal Title: Filomat
Year Published: 2020
Link to full text (if available)
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Journal Title: Filomat
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!