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

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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.

### Most cited references3

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### Bounded semigroups of matrices

(1992)
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### A joint spectrum for several commuting operators

(1970)
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• Record: found

### Hypercyclicity and supercyclicity of $m$-isometric operators

(2012)
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### Author and article information

###### Journal
21 December 2012
2015-05-04
###### Article
10.1142/S1793557115500229
1212.5616