$(m,p)$-isometric and $(m,\infty)$-isometric operator tuples on normed spaces
Functional Analysis
2015-06-29 v9 Operator Algebras
Abstract
We generalize the notion of -isometric operator tuples on Hilbert spaces in a natural way to normed spaces. This is done by defining a tuple analogue of -isometric operators, so-called -isometric operator tuples. We then extend this definition further by introducing -isometric operator tuples and study properties of and relations between these objects.
Cite
@article{arxiv.1212.5616,
title = {$(m,p)$-isometric and $(m,\infty)$-isometric operator tuples on normed spaces},
author = {Philipp H. W. Hoffmann and Michael Mackey},
journal= {arXiv preprint arXiv:1212.5616},
year = {2015}
}
Comments
30 pages (including references and adresses)