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Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
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Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
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Journal Article
Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
2006
Overview
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
