Induced Ideals and Dixmier Algebras
✍ Scribed by An Yang
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 160 KB
- Volume
- 186
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
We prove a conjecture by Vogan on induced Dixmier algebras and give a proof of a result by Duflo on induced ideals.
📜 SIMILAR VOLUMES
## Abstract Let __H__(__B,α__) be the JBW^\*^‐algebra of elements of a continuous W^\*^‐algebra __B__ invariant under the ^\*^‐anti‐automorphism α of __B__ of order two. Then the mapping __I__ → __I__ ∩ __H(B, α__) is an order isomorphism from the complete lattice of α‐invariant weak^\*^ closed inn
## Abstract A general procedure is given to get ideals in algebras of unbounded operators starting with ideals in ℬ︁(ℋ︁). Algebraical and topological properties of ideals obtained in this manner from the well‐known symmetrically‐normed ideals S~ϕ~(ℋ︁) are described.
AND BUrt Totaro \({ }^{8}\) Department of Mathematics, University of Chicago, Chicago, Illinois 60637