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ISSN 1088-6826(e) ISSN 0002-9939(p)

Invariant subspaces for a class of complete Pick kernels

Author(s): Michael T. Jury
Journal: Proc. Amer. Math. Soc. 133 (2005), 3589-3596.
MSC (2000): Primary 47B32; Secondary 47A15, 47A16
Posted: June 28, 2005
MathSciNet review: 2163594
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Abstract: Motivated by the work of McCullough and Trent, we investigate the -invariant subspaces of the Hilbert function spaces associated to the Szego kernels on the open unit disk. In particular, we characterize those kernels for which the the -invariant subspaces are hyperinvariant, and (partially) those for which the so-called BLH subspaces are cyclic, obtaining counterexamples to two questions posed by McCullough and Trent.

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