✦ LIBER ✦
The ∑-Property for Positive Linear Functionals on W-algebras and its Application to the Problem of Unitary Mixing in the State Space
✍ Scribed by P. M. Alberti
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 778 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we are dealing with positive linear functionals on W*-algebras. We introduce the notion of a positive linear functional with 2-property (see Definition 1.1).
It is shown that each positive linear functional on a W*-algebra possesses the 2property. This fact allows to give a short proof of UELMANN'S conjecture on unitary mixing in the state space of a W*-algebra. I n proving our main theorem (see Theorem 1.2.) we obtain some results on positive linear functionals and orthoprojections which are useful in other context, too.