We show the existence of a measurable selector in Carpenter’s Theorem due to Kadison. This solves a problem posed by Jasper and the first author in an earlier work. As an application we obtain a characterization of all possible spectral functions of shift-invariant subspaces of L 2 (R d ) and Carpenter’s Theorem for type I ∞ von Neumann algebras.
Authors
- prof Marcin Bownik,
- dr Marcin Szyszkowski link open in new tab
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.4153/s0008414x19000373
- Category
- Publikacja w czasopiśmie
- Type
- artykuły w czasopismach
- Language
- angielski
- Publication year
- 2020
