Some Absolutely Continuous Representations of Function Algebras

Adina Juratoni
2006 Surveys in Mathematics and its Applications  
In this paper we study some absolutely continuous representations of function algebras, which are weak ρ-spectral in the sense of [5] and [6], for a scalar ρ > 0. Precisely we investigate certain conditions for the existence of a spectral ρ-dilation of such representation. Among others we obtain different results which generalize the corresponding theorems of D. Gaspar
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