Admissibility of Weights on Non-normed $*$-Algebras
Admissibility of Weights on Non-normed $*$-Algebras
The notion of weights on (topological) $*$-algebras is defined and studied. The primary purpose is to define the notions of admissibility and approximate admissibility of weights, and to investigate when a weight is admissible or approximately admissible. The results obtained are applied to vector weights and tracial weight on unbounded …