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Hoffmann, Philipp H.W. and Mackey, Michael (2013) (m, p)-isometric and (m,∞)-isometric operator tuples on normed spaces. Working Paper. UNSPECIFIED. (Unpublished)
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Abstract
We generalize the notion of m-isometric operator tuples on Hilbert
spaces in a natural way to operator tuples on 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,1)-isometric operator tuples and study properties of
and relations between these objects.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Additional Information: | Preprint available at http://arxiv.org/abs/1212.5616 |
| Keywords: | normed space; Banach space; operator tuple; m-isometry; (m, p)-isometry; (m,∞)-isometry; generalised isometry; |
| Academic Unit: | Faculty of Science and Engineering > Computer Science |
| Item ID: | 5033 |
| Depositing User: | CS Editor |
| Date Deposited: | 20 Jun 2014 14:10 |
| Refereed: | No |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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