Separating vectors for operators Academic Article uri icon

abstract

  • It is an open problem whether every one-dimensional extension of a triangular operator admits a separating vector. We prove that the answer is positive for many triangular Hilbert space operators, and in particular, for strictly triangular operators. This is revealing, because two-dimensional extensions of such operators can fail to have separating vectors. 2006 American Mathematical Society.

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Han, D., Larson, D., Pan, Z., & Wogen, W.

citation count

  • 0

complete list of authors

  • Han, D||Larson, D||Pan, Z||Wogen, W

publication date

  • October 2006