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

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Title: On the Second Parameter of an (m, p)-Isometry
Authors: Hoffmann, Philipp
Mackey, Michael
Ó Searcóid, Mícheál
Permanent link: http://hdl.handle.net/10197/6282
Date: 2011
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
Copyright (published version): 2011 Springer Basel AG
Keywords: Banach spaceOperatorm-isometry(m, p)-isometry
DOI: 10.1007/s00020-011-1905-0
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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