Families of Measures and Representations of Algebras of Operators
E. J. McShane · Transactions of the American Mathematical Society · 1962
Introduction.The purpose of the present paper is most easily explained by examining one part of it in detail.Let \Ba: coG^} be a set of commuting bounded hermitian operators on a Hubert space 77, and let T be the cartesian product Xuea [ -\\BU\\, \\Bu\\ ].Two of the most useful tools in the study of the operators are the simultaneous spectral resolution of the Ba by means of a projector-valued measure irona