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- W2275175529 abstract "Abstract We continue the investigation of the isomorphism problem for multiplier algebras of reproducing kernel Hilbert spaces with the complete Nevanlinna-Pick property. In contrast to previous work in this area, we do not study these spaces by identifying them with the restrictions of a universal space, namely theDrury-Arveson space. Instead, we work directly with theHilbert spaces and their reproducing kernels. In particular, we show that two multiplier algebras of Nevanlinna-Pick spaces on the same set are equal if and only if the Hilbert spaces are equal. Most of the article is devoted to the study of a special class of complete Nevanlinna-Pick spaces on homogeneous varieties. We provide a complete answer to the question of when two multiplier algebras of spaces of this type are algebraically or isometrically isomorphic.This generalizes results of Davidson, Ramsey,Shalit, and the author." @default.
- W2275175529 created "2016-06-24" @default.
- W2275175529 creator A5047842304 @default.
- W2275175529 date "2017-02-01" @default.
- W2275175529 modified "2023-10-18" @default.
- W2275175529 title "On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces" @default.
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- W2275175529 doi "https://doi.org/10.4153/cjm-2015-050-6" @default.
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