Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Approximation numbers of weighted composition operators

Lechner, G., Li, D., Queffélec, H. and Rodriguez-Piazza, L. 2018. Approximation numbers of weighted composition operators. Journal of Functional Analysis 274 (7) , pp. 1928-1958. 10.1016/j.jfa.2018.01.010

This is the latest version of this item.

[img]
Preview
PDF - Accepted Post-Print Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.

Download (586kB) | Preview

Abstract

We study the approximation numbers of weighted composition operators $f\mapsto w\cdot(f\circ\varphi)$ on the Hardy space $H^2$ on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers are derived. For the special class of weighted lens map composition operators with specific weights, we show how much the weight $w$ can improve the decay rate of the approximation numbers, and give sharp upper and lower bounds. These examples are motivated from applications to the analysis of relative commutants of special inclusions of von Neumann algebras appearing in quantum field theory (Borchers triples).

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Elsevier
ISSN: 0022-1236
Date of First Compliant Deposit: 22 January 2018
Date of Acceptance: 19 January 2018
Last Modified: 24 Nov 2020 23:02
URI: http://orca.cf.ac.uk/id/eprint/108334

Available Versions of this Item

  • Approximation numbers of weighted composition operators. (deposited 22 Jan 2018 14:49) [Currently Displayed]

Citation Data

Cited 1 time in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item

Downloads

Downloads per month over past year

View more statistics