Article
Approximation numbers of weighted composition operators
Author/s | Lechner, Gandalf
Li, Daniel Queffélec, Hervé Rodríguez Piazza, Luis ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2018 |
Deposit Date | 2018-02-05 |
Published in |
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Abstract | We study the approximation numbers of weighted composition operators
f 7→ 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 ... We study the approximation numbers of weighted composition operators f 7→ 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). |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Project ID. | MTM2015- 63699-P
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Citation | Lechner, G., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2018). Approximation numbers of weighted composition operators. Journal of Functional Analysis |
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