Title
Separating Vectors For Operators
Keywords
Extension of operators; Integral domain; Separating vector; Triangular operator
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.
Publication Date
3-1-2007
Publication Title
Proceedings of the American Mathematical Society
Volume
135
Issue
3
Number of Pages
713-723
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1090/S0002-9939-06-08486-3
Copyright Status
Unknown
Socpus ID
77950675904 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/77950675904
STARS Citation
Han, D.; Larson, D.; Pan, Z.; and Wogen, W., "Separating Vectors For Operators" (2007). Scopus Export 2000s. 6860.
https://stars.library.ucf.edu/scopus2000/6860