Hoffmann, Philipp and Mackey, Michael and Ó Searcóid, Mícheál (2011) On the second parameter of an (m, p)-isometry. Working Paper. arXiv.org.

Preview

Download (216kB) | Preview

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:	https://doi.org/10.1007/s00020-011-1905-0
Depositing User:	Philipp Hoffmann
Date Deposited:	18 Feb 2015 15:34
Publisher:	arXiv.org
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

Origin of downloads