Journal of Operator Theory

Volume 53, Issue 2, Spring 2005 pp. 381-397.

Separating Partial Normality Classes with Composition Operators

Authors: Charles Burnap (1) Bong Jung (2) and Alan Lambert (3)
Author institution: (1) Department of Mathematics, UNC Charlotte, Charlotte NC 28223, USA
(2) Department of Mathematics, Kyungpook National University, Taegu 702-701, Korea
(3) Department of Mathematics, UNC Charlotte, Charlotte NC 28223, USA

Summary: Complete measure-theoretic characterizations are given for $\infty$-, $p$-, and weakly hyponormal composition operators. Examples are then presented showing that composition operators distinguish between these classes as well as those of quasinormality and subnormality.

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