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arXiv · 1212.5616

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

Philipp H. W. Hoffmann·Michael Mackey
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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.

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Philipp H. W. Hoffmann, Michael Mackey. 2012-12-21. $(m,p)$-isometric and $(m,\infty)$-isometric operator tuples on normed spaces. https://doi.org/10.1142/s1793557115500229

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