No CrossRef data available.
Article contents
Normalizers of finite multiplicity nests
Published online by Cambridge University Press: 20 January 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
We show that every continuous nest of bounded multiplicity is unitarily equivalent to itself in a non-trivial way. Along the way, it is shown that no finite (measurable) partition of the unit interval can separate absolutely continuous homeomorphisms.
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 1996
References
REFERENCES
1. Anoussis, M. and Katavolos, A., Unitary actions of nests and the Weyl relations, Bull. Land. Math. Soc. 27 (1995), 265–272.CrossRefGoogle Scholar
2. Davidson, K. R., Similarity and compact perturbations of nest algebras, J. Reine. Angew. Math. 348 (1984), 286–294.Google Scholar
3. Davidson, K. R. Nest Algebras (Pitman Research Notes in Mathematics Series, 191, Longman Scientific and Technical Pub. Co., London, New York, 1988).Google Scholar
4. Davidson, K. R. and Wagner, B., Automorphisms of quasitriangular algebras, J. Funct. Anal. 59 (1984), 612–627.CrossRefGoogle Scholar
5. Erdos, J. A., Unitary invariants for nests, Pacific J. Math. 23 (1967), 229–256.CrossRefGoogle Scholar
6. Kadison, R. V. and Singer, I. M., Triangular operator algebras, Amer. J. Math. 82 (1960), 227–259.CrossRefGoogle Scholar
7. Ringrose, J. R., On some algebras of operators, Proc. London Math. Soc. (3) 15 (1965), 61–83.CrossRefGoogle Scholar
You have
Access