A note on operator tuples which are
(m, p)-isometric as well as (μ,∞)-isometric

Hoffmann, Philipp H.W.

A note on operator tuples which are (m, p)-isometric as well as (μ,∞)-isometric

Share and Export

Hoffmann, Philipp H.W. (2015) A note on operator tuples which are (m, p)-isometric as well as (μ,∞)-isometric. Working Paper. arXiv.

Preview

Text
Available under License Creative Commons Attribution Non-commercial Share Alike.
Download (182kB) | Preview

Abstract

We show that if a tuple of commuting, bounded linear operators (T1, ..., Td) 2 B(X)d is both an (m, p)-isometry and a (μ,1)-isometry, then the tuple (Tm 1 , ..., Tm d ) is a (1, p)-isometry. We further prove some additional properties of the operators T1, ..., Td and show a stronger result in the case of a commuting pair (T1, T2).

Item Type:	Monograph (Working Paper)
Keywords:	operator tuple; normed space; Banach space; m-isometry; (m, p)-isometry; (m,∞)-isometry;
Academic Unit:	Faculty of Science and Engineering > Computer Science
Item ID:	6569
Identification Number:	arXiv:1508.00916
Depositing User:	Philipp Hoffmann
Date Deposited:	11 Nov 2015 15:15
Publisher:	arXiv
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

MURAL - Maynooth University Research Archive Library

A note on operator tuples which are (m, p)-isometric as well as (μ,∞)-isometric

Abstract

Downloads

Origin of downloads

Altmetric Badge

Repository Staff Only (login required)