Power Set of Some Quasinilpotent Weighted shifts on $l^p$

Chaolong Hu, Youqing Ji

For a quasinilpotent operator $T$ on a Banach space $X$, Douglas and Yang defined $k_x=\underset{z\to 0}{\mathrm{limsup}}\frac{\ln \Vert (z-T{)}^{-1}x\Vert }{\ln \Vert (z-T{)}^{-1}\Vert }$ for each nonzero…