Abstract
Let $${\mathcal {A}}$$ be a unital complex Banach algebra and let $$p,q\in {\mathcal {A}}$$ be two idempotents. In this paper, we study the relationships between different spectra of pq and those of $$\alpha p+\beta q-\gamma pq$$ , where $$\alpha ,\beta ,\gamma \in {\mathbb {C}}$$ .
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