Power Set of Some Quasinilpotent Weighted Shifts
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DOI: 10.1007/s00020-021-02633-9
Abstract: For a quasinilpotent bounded linear operator T, we write $$k_x=\limsup \limits _{z\rightarrow 0}\frac{\log \Vert (z-T)^{-1}x\Vert }{\log \Vert (z-T)^{-1}\Vert }$$ for each nonzero vector x. Set $$\Lambda (T)=\{k_x:x\ne 0\}$$ , and call it the power set… read more here.
Keywords: vert; tau; lambda; power set ... See more keywords