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Some properties of the kernel and the cokernel of Toeplitz operators with matrix symbols

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Detalhes bibliográficos
Resumo: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 x 2 symbols, whose determinant admits a bounded Wiener-Hopf factorization
Autores principais:Benhida, B.
Outros Autores:Câmara, M. C.; Diogo, C.
Assunto:Factorization theory Riemann-Hilbert problem Toeplitz operator
Ano:2010
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso embargado
Instituição associada:ISCTE
Idioma:inglês
Origem:Repositório ISCTE
Descrição
Resumo: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 x 2 symbols, whose determinant admits a bounded Wiener-Hopf factorization