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arXiv · 1812.11618

Generalized Hirano inverses in Banach Algebra

Huanyin chen·Sarjan Sheibani
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Abstract

Let $A$ be a Banach Algebra, we say that $a\in A$ has generalized Hirano inverse if there exists some $b \in A$ such that $b=b.a.b, a.b=b.a$ and $a-a^2.b$ is quasi nil potent, if and only if there exists some $p=p^3\in A$ such that $a-p$ is quasi nil potent.

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Huanyin chen, Sarjan Sheibani. 2018-12-30. Generalized Hirano inverses in Banach Algebra. https://arxiv.org/abs/1812.11618

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