Random Measures of Gleason Type

摘要: The aim of this paper is to give a spectral representation for random measures Gleason type. Random may be treated as non-commutative version stochastic processes with independent increments. Theorems 1 and 2 the such in terms S-operator families. In particular, operator-valued measure N (Theorem 2) plays same role Levy-Khinchine theory infinitely divisible distributions it very convenient tool consideration concerning convergence compactness sequences measures.