On the second parameter of an $(m,p)$-isometry

Philipp Hoffmann, Michael Mackey, Mícheál Ó Searcóid

A bounded linear operator $T$ on a Banach space $X$ is called an $(m,p)$-isometry if it satisfies the equation \sum_{k=0}^{m}(-1)^{k} {m \choose k}\|T^{k}x\|^{p} = 0$,forall$x…