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Tensor product of left n-invertible operators

Tensor product of left n-invertible operators

A Banach space operator $T\in\mathcal X$ has a left $m$-inverse (resp., an essential left $m$-inverse) for some integer $m\geq 1$ if there exists an operator $S\in\mathcal X$ (resp., an operator $S\in\mathcal X$ and a compact operator $K\in\mathcal X$) su