演講訊息 TALKS

The first part of this talk will be a brief introduction to complex symmetric operators. Recall that a bounded linear operator T on a Hilbert space H is said to be complex symmetric if T admits a symmetric matrix representation with respect to some orthonormal basis for H. The second pare of the talk will focus on the algebraic aspects of the theory of complex symmetric operators. More precisely, we shall discuss the complex symmetric generator problem for operator algebras, that is, the problem of determining which operator algebras can be generated by a single complex symmetric operator. For type I von Neumann algebras, properly infinite von Neumann algebras and a large class of finite von Neumann algebras, we give a complete answer.