On the Second Parameter of an (m, p)-Isometry
|Title:||On the Second Parameter of an (m, p)-Isometry||Authors:||Hoffmann, Philipp
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 space; Operator; m-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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