
doi: 10.1007/bf01212701
Continuing the work of Cowen and Kriete, the author studies joint hyponormality and joint subnormality of \(n\)-tuples of commuting composition operators with linear fractional symbols, acting on the Hardy space \(H^2\). He presents conditions to ensure that an \(n\)-tuple is jointly subnormal if and only if it is jointly hyponormal. In the last section of the paper, the joint subnormality of commutative \(n\)-tuples of adjoints of composition operators is analyzed.
Several-variable operator theory (spectral, Fredholm, etc.), Linear composition operators, joint hyponormality, joint subnormality, composition operator, Subnormal operators, hyponormal operators, etc., linear fractional symbols
Several-variable operator theory (spectral, Fredholm, etc.), Linear composition operators, joint hyponormality, joint subnormality, composition operator, Subnormal operators, hyponormal operators, etc., linear fractional symbols
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