Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal-Reference-Cited by-同舟云学术

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

Published:2006-06-15 Issue:11 Volume:358 Page:5139-5159
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Curto Raúl,Yoon Jasang

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2006-358-11/S0002-9947-06-03911-0/S0002-9947-06-03911-0.pdf

Reference18 articles.

1. On joint hyponormality of operators;Athavale, Ameer;Proc. Amer. Math. Soc.,1988

2. Mathematical Surveys and Monographs;Conway, John B.,1991

3. Joint hyponormality: a bridge between hyponormality and subnormality;Curto, Raúl E.,1990

4. Quadratically hyponormal weighted shifts;Curto, Raúl E.;Integral Equations Operator Theory,1990

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