Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772228 | Journal of Functional Analysis | 2017 | 43 Pages |
Abstract
We obtain some partial results in the general case and we turn to the case of a correspondence over a factor. Under some additional assumptions on the representation Ï:MâB(H) we show that ÏÏ(Hâ(E)) is reflexive. Then we apply these results to analytic crossed products ÏÏ(Hâ(Mα)) and obtain their reflexivity for any automorphism αâAut(M) whenever M is a factor. Finally, we show also the reflexivity of the compression of the Hardy algebra to a suitable coinvariant subspace M, which may be thought of as a generalized symmetric Fock space.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Leonid Helmer,