Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal

Authors

• Raúl E. Curto, University of Iowa
• Jasang Yoon, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

11-1-2006

Abstract

We construct three different families of commuting pairs of subnormal operators, jointly hyponormal but not admitting commuting normal extensions. Each such family can be used to answer in the negative a 1988 conjecture of R. Curto, P. Muhly and J. Xia. We also obtain a sufficient condition under which joint hyponormality does imply joint subnormality.

Comments

© 2006 American Mathematical Society.

Recommended Citation

Curto, Raul, and Jasang Yoon. "Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal." Transactions of the American Mathematical Society 358, no. 11 (2006): 5139-5159. https://doi.org/10.1090/S0002-9947-06-03911-0

First Page

5139

Last Page

5159

Publication Title

Transactions of the American Mathematical Society

DOI

10.1090/S0002-9947-06-03911-0