Adamo MS, Neeb KH, Schober J (2022)
Publication Type: Journal article
Publication year: 2022
Book Volume: 283
Article Number: 109493
Journal Issue: 2
DOI: 10.1016/j.jfa.2022.109493
We analyze reflection positive representations in terms of positive Hankel operators. This is motivated by the fact that positive Hankel operators are described in terms of their Carleson measures, whereas the compatibility condition between representations and reflection positive Hilbert spaces is quite intricate. This leads us to the concept of a Hankel positive representation of triples (G,S,τ), where G is a group, τ an involutive automorphism of G and S⊆G a subsemigroup with τ(S)=S−1. For the triples (Z,N,−id
APA:
Adamo, M.S., Neeb, K.H., & Schober, J. (2022). Reflection positivity and Hankel operators— The multiplicity free case. Journal of Functional Analysis, 283(2). https://doi.org/10.1016/j.jfa.2022.109493
MLA:
Adamo, Maria Stella, Karl Hermann Neeb, and Jonas Schober. "Reflection positivity and Hankel operators— The multiplicity free case." Journal of Functional Analysis 283.2 (2022).
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