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- Title
H-functional calculus and models of Nagy-Foiaş type for sectorial operators.
- Authors
Galé, José; Miana, Pedro; Yakubovich, Dmitry
- Abstract
We prove that a sectorial operator admits an H-functional calculus if and only if it has a functional model of Nagy-Foiaş type. Furthermore, we give a concrete formula for the characteristic function (in a generalized sense) of such an operator. More generally, this approach applies to any sectorial operator by passing to a different norm (the McIntosh square function norm). We also show that this quadratic norm is close to the original one, in the sense that there is only a logarithmic gap between them.
- Subjects
CALCULUS; MATHEMATICAL functions; LOGARITHMIC functions; HILBERT space; ALGEBRA; BANACH algebras
- Publication
Mathematische Annalen, 2011, Vol 351, Issue 3, p733
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-010-0614-3