MURAL - Maynooth University Research Archive Library



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


    Hoffmann, Philipp H.W. and Mackey, Michael (2013) (m, p)-isometric and (m,∞)-isometric operator tuples on normed spaces. Working Paper. UNSPECIFIED. (Unpublished)

    [img]
    Preview
    Download (304kB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    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,1)-isometric operator tuples and study properties of and relations between these objects.

    Item Type: Monograph (Working Paper)
    Additional Information: Preprint available at http://arxiv.org/abs/1212.5616
    Keywords: normed space; Banach space; operator tuple; m-isometry; (m, p)-isometry; (m,∞)-isometry; generalised isometry;
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Item ID: 5033
    Depositing User: CS Editor
    Date Deposited: 20 Jun 2014 14:10
    Refereed: No
    URI:
      Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

      Repository Staff Only(login required)

      View Item Item control page

      Downloads

      Downloads per month over past year

      Origin of downloads