Approximation numbers of weighted composition operators
Lechner G, Li D, Queffelec H, Rodriguez-Piazza L (2018)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2018
Journal
Book Volume: 274
Pages Range: 1928-1958
Journal Issue: 7
DOI: 10.1016/j.jfa.2018.01.010
Abstract
We study the approximation numbers of weighted composition operators f↦w⋅(f∘φ) on the Hardy space H2 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).
Authors with CRIS profile
Additional Organisation(s)
Involved external institutions
University of Seville / Universidad de Sevilla
Spain (ES)
Université de Lille (ULille) / University of Lille Nord de France / Université Lille Nord de France / Université Lille II
France (FR)
Université d'Artois
France (FR)
Cardiff University
United Kingdom (GB)
Spain (ES)
Université de Lille (ULille) / University of Lille Nord de France / Université Lille Nord de France / Université Lille II
France (FR)
Université d'Artois
France (FR)
Cardiff University
United Kingdom (GB)
How to cite
APA:
Lechner, G., Li, D., Queffelec, H., & Rodriguez-Piazza, L. (2018). Approximation numbers of weighted composition operators. Journal of Functional Analysis, 274(7), 1928-1958. https://doi.org/10.1016/j.jfa.2018.01.010
MLA:
Lechner, Gandalf, et al. "Approximation numbers of weighted composition operators." Journal of Functional Analysis 274.7 (2018): 1928-1958.
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