On the second parameter of an
(m, p)-isometry

Hoffmann, Philipp; Mackey, Michael; Ó Searcóid, Mícheál

On the second parameter of an (m, p)-isometry

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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
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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On the second parameter of an (m, p)-isometry

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