RUC-decompositions in symmetric operator spaces

P. G. Dodds; F. A. Sukochev

doi:10.1007/BF01320701

RUC-decompositions in symmetric operator spaces

P. G. Dodds, F. A. Sukochev

College of Science and Engineering

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We show that if X is a Banach space of type 2 and G is a compact Abelian group, then any system of eigenvectors {x_γ}γ∈Ĝ (with respect to a strongly continuous representation of G on X) is an RUC-system. As an application, we exhibit new examples of RUC-bases in certain symmetric spaces of measurable operators.

Original language	English
Pages (from-to)	269-287
Number of pages	19
Journal	Integral Equations and Operator Theory
Volume	29
Issue number	3
DOIs	https://doi.org/10.1007/BF01320701
Publication status	Published - Sept 1997

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AB - We show that if X is a Banach space of type 2 and G is a compact Abelian group, then any system of eigenvectors {xγ}γ∈Ĝ (with respect to a strongly continuous representation of G on X) 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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RUC-decompositions in symmetric operator spaces

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