An explicit square-root formula for commuting positive 2x2 matrices enables a full classification of subnormal, hyponormal, semi-hyponormal, and weakly hyponormal regions for the three-parameter family of two-variable weighted shifts W_(α,β)(a,x,y), with the Drury-Arveson shift shown not to be semi
Ando, Operators with a norm condition, Acta Sci
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Semi-hyponormality of commuting pairs of Hilbert space operators
An explicit square-root formula for commuting positive 2x2 matrices enables a full classification of subnormal, hyponormal, semi-hyponormal, and weakly hyponormal regions for the three-parameter family of two-variable weighted shifts W_(α,β)(a,x,y), with the Drury-Arveson shift shown not to be semi