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math.OA2009
Universal objects in categories of reproducing kernels
Daniel Beltita, Jose E. Gale
We continue our earlier investigation on generalized reproducing kernels, in connection with the complex geometry of - algebra representations, by looking at them as the objec…
math.SP2009★ 2 cited
-functional calculus and models of Nagy-Foiaş type for sectorial operators
José E. Galé, Pedro J. Miana, Dmitry Yakubovich
We prove that a sectorial operator admits an H-infty - functional calculus if and only if it has a functional model of Nagy-Foias type. Furthermore, we give a concrete formula for…