The aim of this paper is to show that the automorphism and isometry groups of the suspension of B(H), H being a separable infinite-dimensional Hilbert space, are algebraically reflexive. This means that every local automorphism, respectively, every local surjective isometry, of C 0 (R) B(H) is an au
Algebraic reflexivity of some subsets of the isometry group
β Scribed by S. Dutta; T.S.S.R.K. Rao
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 108 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that an algebraic operator on a complex Banach space has reflexive commutant if and only if each zero of the minimal polynomial of the operator is simple. Further, for any operator, the local commutant at an eigenvector is reflexive. On the other hand, for an algebraic operator whose minimal
We show that the Brauer group BM(k, H Ξ½ , R s,Ξ² ) of the quasitriangular Hopf algebra (H Ξ½ , R s,Ξ² ) is a direct product of the additive group of the field k and the classical Brauer group B ΞΈ s (k, Z 2Ξ½ ) associated to the bicharacter ΞΈ s on Z 2Ξ½ defined by ΞΈ s (x, y) = Ο sxy , with Ο a 2Ξ½th root o