Problem of invariant subspaces in C*-algebras
Science China Mathematics - 2002
Tóm tắt
Let A be a separable simple C*-algebra. For each ;) on A such that π(a) has a non-trivial invariant subspace in Hπ.
Từ khóa
Tài liệu tham khảo
Beauzamy, B., Introduction to Operator Theory and Invariant Subspaces, Amsterdam: North-Holland, 1988.
Lin Huaxin, Invariant subspace and eigenvalues of element in C*-algebra, Chinese Ann., 1992, 38 (4): 422.
Dixmier, J., C*-Algebras, Amsterdam: North-Holland, 1977.
Pedersen, G. K., C*-algebras and Their Automorphism Groups, London: Academic Press, 1979.
Batty, C. J. K., Irreducible representations of inseparable C*- algebras, Rocky Mountain J. Math., 1984, 14(3): 721.
Takesaki, M., Theory of Operator Algebras I, New York: Springer-Verlag, 1979.