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

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

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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
URI:	https://mural.maynoothuniversity.ie/id/eprint/6569
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

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

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