Abstract
In this paper the Ellis–Gohberg–Lay theorem on inversion of certain Toeplitz plus Hankel operators is derived as a corollary of an abstract inversion theorem for a certain class of structured operators. The main results also cover the inversion theorems considered in [6].
Mathematics Subject Classification (2010). Primary 47A62, 47B35; Secondary 47A50, 15A09, 65F05
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Dedicated to our dear friend Leonia Lerer, on the occasion of his 70th birthday.
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Kaashoek, M.A., van Schagen, F. (2013). Inverting Structured Operators Related to Toeplitz Plus Hankel Operators. In: Kaashoek, M., Rodman, L., Woerdeman, H. (eds) Advances in Structured Operator Theory and Related Areas. Operator Theory: Advances and Applications, vol 237. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0639-8_12
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DOI: https://doi.org/10.1007/978-3-0348-0639-8_12
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