RUC-decompositions in symmetric operator spaces |
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| Authors: | P G Dodds F A Sukochev |
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| Institution: | (1) Department of Mathematics and Statistics, The Flinders University of South Australia, GPO Box 2100, 5001 Adelaide, SA, Australia |
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| Abstract: | We show that ifX is a Banach space of type 2 andG is a compact Abelian group, then any system of eigenvectors {x
 } 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.Research supported by the Australian Research Council |
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| Keywords: | Primary 46L50 47D15 Secondary 46E30 |
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