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

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 f...

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Bibliographic Details
Main Author: Benhida, B. (author)
Other Authors: Câmara, M. C. (author), Diogo, C. (author)
Format: article
Language:eng
Published: 2015
Subjects:
Online Access:https://ciencia.iscte-iul.pt/public/pub/id/22847
Country:Portugal
Oai:oai:repositorio.iscte-iul.pt:10071/10067
Description
Summary: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