Let 𝒜 be a Banach algebra. An element a ∈ 𝒜 has the generalized Zhou inverse if there exists b ∈ 𝒜 such that b = bab, ab = ba, aⁿ − ab ∈ J#(𝒜), f or some n ∈ ℕ. We find some new conditions under ...
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