Hoffmann, Philipp H.W. and Mackey, Michael
(2013)
(m, p)-isometric and (m,∞)-isometric operator
tuples on normed spaces.
Working Paper.
UNSPECIFIED.
(Unpublished)
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 |
| URI: |
|
| 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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