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(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 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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