Two-dimensional representations of uniform algebras

Nakazi, Takahiko; Takahashi, Katsutoshi

doi:10.1090/S0002-9939-1995-1257120-X

Two-dimensional representations of uniform algebras
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by Takahiko Nakazi and Katsutoshi Takahashi PDF

Proc. Amer. Math. Soc. 123 (1995), 2777-2784 Request permission

Abstract:

It is shown that every two-dimensional representation of a uniform algebra has a dilation, which extends the result by Paulsen. We also prove some dilation result for a representation of the disk algebra.

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