Article
Extended eigenvalues of composition operators
Author/s | Lacruz Martín, Miguel Benito
![]() ![]() ![]() ![]() ![]() ![]() ![]() León Saavedra, Fernando Petrovic, Srdjan Rodríguez Piazza, Luis ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Análisis matemático |
Publication Date | 2021-12-15 |
Deposit Date | 2021-11-25 |
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Abstract | A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX=λXA. The results in this paper provide a full solution to the ... A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX=λXA. The results in this paper provide a full solution to the problem of computing the extended eigenvalues for those composition operators Cφ induced on the Hardy space H2(D) by linear fractional transformations φ of the unit disk. |
Citation | Lacruz Martín, M.B., León Saavedra, F., Petrovic, S. y Rodríguez Piazza, L. (2021). Extended eigenvalues of composition operators. Journal of Mathematical Analysis and Applications, 504 (2), 125427-1-125427-13. |
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