(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
|Permanent link:||http://hdl.handle.net/10197/6877||Date:||2-Jun-2015||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||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|
|Appears in Collections:||Mathematics and Statistics Research Collection|
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