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

    https://doi.org/10.1142/S1793557115500229Cited by:10 (Source: Crossref)

    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.

    AMSC: 47B99, 05A10
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