(m, p)-isometric and (m, ∞)-isometric operator tuples on normed spaces

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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 spaceBanach spaceOperator tupleM-isometry(m; p)-isometry(m; ∞)-isometryGeneralized isometry
DOI: 10.1142/S1793557115500229
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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