Some properties of the kernel and the cokernel of Toeplitz operators with matrix symbols
The relation between kernels and cokernels of Toeplitz operators are studied in connection with certain relations between their symbols by the use of a Riemann-Hilbert approach. This approach is even applicable if the symbol possesses no factorization and has the advantage that simple linear algebraic and complex analytic techniques can be used. The obtained results are applied to Toeplitz operators in \((H_2^*)^2\) which have the property that the determinant of the symbol admits a bounded Wiener-Hopf factorization.
scientific article; zbMATH DE number 5650039