(m, p)-isometric and (m, ∞)-isometric operator tuples on normed spaces
|Title:||(m, p)-isometric and (m, ∞)-isometric operator tuples on normed spaces||Authors:||Hoffmann, Philipp; Mackey, Michael||Permanent link:||http://hdl.handle.net/10197/6877||Date:||2-Jun-2015||Online since:||2016-06-01T01:00:10Z||Abstract:||We generalize the notion of m-isometric operator tuples on Hilbert spaces in a natural way to operator tuples on normed spaces. This is done by defining a tuple analogue of (m, p)-isometric operators, so-called (m, p)-isometric operator tuples. We then extend this definition further by introducing (m, ∞)-isometric operator tuples and study properties of and relations between these objects.||Funding Details:||University College Dublin||Type of material:||Journal Article||Publisher:||World Scientific Publishing||Journal:||Asian-European Journal of Mathematics||Volume:||8||Issue:||2||Copyright (published version):||2015 World Scientific Publishing Company||Keywords:||Normed space; Banach space; Operator tuple; M-isometry; (m; p)-isometry; (m; ∞)-isometry; Generalized isometry||DOI:||10.1142/S1793557115500229||Language:||en||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/|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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