Title

Separating vectors for operators

Authors

Authors

D. Han; D. Larson; Z. Pan;W. Wogen

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Proc. Amer. Math. Soc.

Keywords

separating vector; extension of operators; triangular operator; integral; domain; EXTENSIONS; REFLEXIVITY; ALGEBRAS; Mathematics, Applied; Mathematics

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.

Journal Title

Proceedings of the American Mathematical Society

Volume

135

Issue/Number

3

Publication Date

1-1-2007

Document Type

Article

DOI Link

http://dx.doi.org/10.1090/s0002-9939-06-08486-3

Language

English

First Page

713

Last Page

723

WOS Identifier

WOS:000242238300012

ISSN

0002-9939

Recommended Citation

"Separating vectors for operators" (2007). Faculty Bibliography 2000s. 7199.
https://stars.library.ucf.edu/facultybib2000/7199