Hoffmann, Philipp H.W.
(2015)
A note on operator tuples which are
(m, p)-isometric as well as (μ,∞)-isometric.
Working Paper.
arXiv.
Abstract
We show that if a tuple of commuting, bounded linear operators
(T1, ..., Td) 2 B(X)d is both an (m, p)-isometry and a (μ,1)-isometry,
then the tuple (Tm
1 , ..., Tm
d ) is a (1, p)-isometry. We further prove some
additional properties of the operators T1, ..., Td and show a stronger result
in the case of a commuting pair (T1, T2).
| Item Type: |
Monograph
(Working Paper)
|
| Keywords: |
operator tuple; normed space; Banach space; m-isometry;
(m, p)-isometry; (m,∞)-isometry; |
| Academic Unit: |
Faculty of Science and Engineering > Computer Science |
| Item ID: |
6569 |
| Identification Number: |
arXiv:1508.00916 |
| Depositing User: |
Philipp Hoffmann
|
| Date Deposited: |
11 Nov 2015 15:15 |
| Publisher: |
arXiv |
| 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 |
Repository Staff Only(login required)
 |
Item control page |
Downloads per month over past year
Origin of downloads
Altmetric
Altmetric