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

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          Abstract

          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.

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          Most cited references 3

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          Bounded semigroups of matrices

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            A joint spectrum for several commuting operators

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              Hypercyclicity and supercyclicity of $m$-isometric operators

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                Author and article information

                Journal
                21 December 2012
                2015-05-04
                Article
                10.1142/S1793557115500229
                1212.5616

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                Custom metadata
                Asian-European Journal of Mathematics, Vol. 8, No. 2 (2015)
                30 pages (including references and adresses)
                math.FA math.OA

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