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- W4301721871 abstract "We study the natural inverse introduced by X. Mary and show some connections with the $(p,q)$-inverses of Djordjevic and Wei, where $p$ and $q$ are prescribed idempotents. We deal first with rings with identity and then specialize to the particular case of the algebra of bounded linear operators. We give a characterization of the set of operators along which an operator is natural invertible in terms of prescribed range and nullspace. Finally, the special case when the prescribed idempotent is the spectral projection is discussed." @default.
- W4301721871 created "2022-10-05" @default.
- W4301721871 creator A5087665617 @default.
- W4301721871 date "2013-02-05" @default.
- W4301721871 modified "2023-09-26" @default.
- W4301721871 title "Natural generalized invertibility and prescribed idempotents" @default.
- W4301721871 doi "https://doi.org/10.48550/arxiv.1302.1480" @default.
- W4301721871 hasPublicationYear "2013" @default.
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