Separating vectors for operators
Abbreviated Journal Title
Proc. Amer. Math. Soc.
separating vector; extension of operators; triangular operator; integral; domain; EXTENSIONS; REFLEXIVITY; ALGEBRAS; Mathematics, Applied; Mathematics
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.
Proceedings of the American Mathematical Society
"Separating vectors for operators" (2007). Faculty Bibliography 2000s. 7199.