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Hoffmann, Philipp, Mackey, Michael and Ó Searcóid, Mícheál (2011) On the second parameter of an (m, p)-isometry. Working Paper. arXiv.org.
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Abstract
A bounded linear operator T on a Banach space X is called an (m, p)-isometry if it satisfies the equation ∑mk=0(−1)k(mk)||p=0, for all x ∈ X. In this paper we study the structure which underlies the second parameter of (m, p)-isometric operators. We concentrate on determining
when an (m, p)-isometry is a (μ, q)-isometry for some pair (μ, q). We also extend the definition of (m, p)-isometry, to include p = ∞ and study basic
properties of these (m,∞)-isometries.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Additional Information: | Preprint article available at DOI: 10.1007/s00020-011-1905-0 Cite as arXiv:1106.0339 [math.FA] |
| Keywords: | Banach space; operator; m-isometry; (m, p)-isometry; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 5858 |
| Identification Number: | 10.1007/s00020-011-1905-0 |
| Depositing User: | Philipp Hoffmann |
| Date Deposited: | 18 Feb 2015 15:34 |
| Publisher: | arXiv.org |
| URI: | https://mu.eprints-hosting.org/id/eprint/5858 |
| 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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