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  5. On the Second Parameter of an (m, p)-Isometry
 
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On the Second Parameter of an (m, p)-Isometry

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Author(s)
Hoffmann, Philipp 
Mackey, Michael 
Ó Searcóid, Mícheál 
Uri
http://hdl.handle.net/10197/6282
Date Issued
2011
Date Available
13T10:47:27Z January 2015
Abstract
A bounded linear operator T on a Banach space X is called an (m, p)-isometry if it satisfies the equation TeX , for all TeX . 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.
Type of Material
Journal Article
Publisher
Springer
Journal
Integral Equations and Operator Theory
Volume
71
Issue
3
Start Page
389
End Page
405
Copyright (Published Version)
2011 Springer Basel AG
Keywords
  • Banach space

  • Operator

  • m-isometry

  • (m, p)-isometry

DOI
10.1007/s00020-011-1905-0
Language
English
Status of Item
Peer reviewed
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Owning collection
Mathematics and Statistics Research Collection
Scopus© citations
31
Acquisition Date
Jan 27, 2023
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