((m,p)\)-isometric and \((m,\infty)\)-isometric operator tuples on normed spaces
We generalize the notion of \(m\)-isometric operator tuples on Hilbert spaces in a natural way to 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,\inft...
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| creator | Hoffmann, Philipp H W Mackey, Michael |
| description | We generalize the notion of \(m\)-isometric operator tuples on Hilbert spaces in a natural way to 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 \((m,\infty)\)-isometric operator tuples and study properties of and relations between these objects. |
| doi_str_mv | 10.48550/arxiv.1212.5616 |
| format | Article |
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| subjects | Hilbert space Mathematics - Functional Analysis Mathematics - Operator Algebras |
| title | ((m,p)\)-isometric and \((m,\infty)\)-isometric operator tuples on normed spaces |
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