对称算子空间及自伴算子空间上的三重Jordan映射

Jordan triple maps on symmetric operator spaces and self-adjoint operator spaces

设H是复Hilbert空间,By(H)和Bs(H)分别表示H上的对称算子全体和自伴算子全体.刻画了对称算子空间和自伴算子空间上的三重Jordan映射.

Let H be a complex Hilbert space, By （H） and Bs （H） be the space of symmetricoperators and the space of self-adjoint operators on H, respectively. The forms of Jordan triple maps on the space of symmetric operators and the space of self-adjoint operators are given.