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

Raúl E Curto; Jasang Yoon

doi:10.1090/S0002-9947-06-03911-0

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

Journal article

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

Raúl E Curto and Jasang Yoon

Transactions of the American Mathematical Society, Vol.358(11), pp.5139-5159

2006

DOI: 10.1090/S0002-9947-06-03911-0

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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.

Details

Title: Subtitle: Jointly hyponormal pairs of commuting subnormal operators need not be jointly subnormal
Creators: Raúl E Curto
Jasang Yoon
Resource Type: Journal article
Publication Details: Transactions of the American Mathematical Society, Vol.358(11), pp.5139-5159
DOI: 10.1090/S0002-9947-06-03911-0
ISSN: 0002-9947
eISSN: 1088-6850
Language: English
Date published: 2006
Academic Unit: Mathematics
Record Identifier: 9983985828402771

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