In this paper we will prove some theorems on the M-ideals of compact operators and the best approximation of quasitriangular operator algebras. These results improve and extend the known results in [4, 5, 7].
In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skelet...In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skeleton. After introducing a special kind of principal congruence, we consider the relationship between an MS-algebra and its quotient algebra.展开更多
文摘In this paper we will prove some theorems on the M-ideals of compact operators and the best approximation of quasitriangular operator algebras. These results improve and extend the known results in [4, 5, 7].
文摘In this paper, the internal structures of MS-algebras are investigated by means of the new notions of Stonean kernel and M-ideal. We determine necessary and sufficient conditions for an MS-algebra with a Kleene skeleton. After introducing a special kind of principal congruence, we consider the relationship between an MS-algebra and its quotient algebra.
