The multigraded Nijenhuis–Richardson algebra, its universal property and applications

The ∑-Property for Positive Linear Funct

The ∑-Property for Positive Linear Functionals on W-algebras and its Application to the Problem of Unitary Mixing in the State Space

✍ P. M. Alberti 📂 Article 📅 1979 🏛 John Wiley and Sons 🌐 English ⚖ 778 KB

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 pr