Subspaces of L(H) That Are *-Invariant
โ Scribed by Wend Werner
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 170 KB
- Volume
- 193
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
โฆ Synopsis
A result of Choi and Effros says how * -invariant spaces of bounded operators on Hilbert space that contain the identity can be abstractly characterized in terms of their order structure. The aim here is to dispose of the identity and to prove a similar theorem for spaces of bounded operators that are merely * -invariant. Absence of a unit will also permit to deal with duals in a satisfactory way.
๐ SIMILAR VOLUMES
Using the range function approach to shift invariant spaces in L 2 (R n ) we give a simple characterization of frames and Riesz families generated by shifts of a countable set of generators in terms of their behavior on subspaces of l 2 (Z n ). This in turn gives a simplified approach to the analysi