Abstract
Inversion formulas are obtained for invertible compressions T(f) = P in K b M f K b of block-Toeplitz operators to a left shift invariant subspace K b = 1-1 of the Hardy space 1-2 of vector functions. These results are compared with known inversion formulas for block-Toeplitz matrices, block-Pick matrices and for Toeplitz integral operators in 1-3 (0,a).
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Arov, D.Z. (1998). Inversion Formulas for Compressions of block-Toeplitz Operators. In: Gohberg, I., Mennicken, R., Tretter, C. (eds) Recent Progress in Operator Theory. Operator Theory Advances and Applications, vol 103. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8793-9_1
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DOI: https://doi.org/10.1007/978-3-0348-8793-9_1
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