Singular Symmetric Functionals
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We present and study a new construction of singular symmetric functionals on Marcinkiewicz function spaces, which may be considered as a counterpart of an earlier construction by Dixmier of nonnormal traces on certain operator ideals. We also exhibit new examples of symmetric function spaces which are not subspaces of any Marcinkiewicz space and which admit nontrivial singular symmetric functionals. Bibliography: 9 titles.
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- Singular Symmetric Functionals
Journal of Mathematical Sciences
Volume 124, Issue 2 , pp 4867-4885
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- Kluwer Academic Publishers-Plenum Publishers
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- Author Affiliations
- 1. School of Informatics and Engineering, The Flinders University of South Australia, Australia
- 2. Department of Mathematics, Delft University of Technology, The Netherlands
- 3. Voronezh State University of Building and Architecture, Russia