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Some properties of the kernel and the cokernel of Toeplitz operators with matrix symbols |
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| Authors: | C. Benhida C. Diogo |
| Affiliation: | a Université des Sciences et Technologies de Lille, UFR de Mathématiques, Bât. M2, 59655 Villeneuve d’ Ascq Cedex, Lille, France b Departamento de Matemática, Instituto Superior Técnico, Technical University of Lisbon (TULisbon), Avenida Rovisco Pais, 1049-001 Lisbon, Portugal c Departamento de Métodos Quantitativos, Lisbon University Institute (ISCTE-IUL), Avenida das Forças Armadas, 1649-026 Lisbon, Portugal |
| Abstract: | The relations between the kernels, as well as the cokernels, of Toeplitz operators are studied in connection with certain relations between their symbols. These results are used to obtain some Fredholm type properties for operators with 2×2 symbols, whose determinant admits a bounded Wiener-Hopf factorization. |
| Keywords: | 47B35 35Q15 47A68 |
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