$(m,p)$-isometric and $(m,\infty )$-isometric operator tuples on normed spaces

Abstract

We generalize the notion of $m$-isometric operator tuples on Hilbert spaces in a natural way to normed spaces. This is done by defining a tuple analogue of $(m,p)$-isometric operators, so-called $(m,p)$-isometric operator tuples. We then extend this definition further by introducing $(m,\infty )$-isometric operator tuples and study properties of and relations between these objects.

30 pages (including references and adresses)

References in corpus (1)

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