A note on separating vectors for operators on a Hilbert space

الملخص EN

Let H and K be separable complex Hilbert spaces, and let B(H, K) be the space of bounded linear operators from H to K.

If H = K we write B(H) for B(H, H).

In this note we study separating vectors for separators on B(H ® K) that have representations of ( A C ^ the form I \, where AeB(H),BeB(K) and CeB(K,H).