Tensor product of left polaroid operators

Enrico Boasso, B. P. Duggal

A Banach space operator $T\in B(X)$ is left polaroid if for each $\lambda \in iso{\sigma }_a(T)$ there is an integer $d(\lambda )$ such that asc $(T-\lambda )=d(\lambda )<\infty$ and $(T-\lambda {)}^{d(\lambda )+1}X$ is closed…