CAJ | 학술논문

本文研究了对任意厄米实Banach*-代数的表示理论进行系统研究. 利用对该类代数所定义的一般态空间展开讨论. 获得了该类代数上可表示泛函的一系列好的性质,进而给出了不可约表示的等价刻画.这些结果将Naimark、Gaur等人的工作进行了推广.
본문연구료대임의액미실Banach*-대수적표시이론진행계통연구. 이용대해류대수소정의적일반태공간전개토론. 획득료해류대수상가표시범함적일계렬호적성질,진이급출료불가약표시적등개각화.저사결과장Naimark、Gaur등인적공작진행료추엄.
In this paper,we give a systematic discussion on representation theory of general Hermitian real Banach*-algebras. A general state space on these algebras is defined,and is used to depict the representation. Some good characters of representable functionals on these algebras are obtained. The equivalent conditions on irreducible representations are given. These are extensions of the results of Naimark and Gaur.