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On an intertwining lifting theorem for certain reproducing kernel Hilbert spaces

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Abstract

We provide an alternate approach to an intertwining lifting theorem obtained by Ball, Trent and Vinnikov. The results are an exact analogue of the classical Sz-Nagy-Foias theorem in the case of multipliers on a class of reproducing kernel spaces, which satisfy the Nevanlinna-Pick property.

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Ambrozie, CG., Timotin, D. On an intertwining lifting theorem for certain reproducing kernel Hilbert spaces. Integr equ oper theory 42, 373–384 (2002). https://doi.org/10.1007/BF01270919

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