Abstract
We show that ifX is a Banach space of type 2 andG is a compact Abelian group, then any system of eigenvectors {x γ}γ∈G (with respect to a strongly continuous representation ofG onX) is an RUC-system. As an application, we exhibit new examples of RUC-bases in certain symmetric spaces of measurable operators.
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Research supported by the Australian Research Council
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Dodds, P.G., Sukochev, F.A. RUC-decompositions in symmetric operator spaces. Integr equ oper theory 29, 269–287 (1997). https://doi.org/10.1007/BF01320701
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DOI: https://doi.org/10.1007/BF01320701