Proceedings of the American Mathematical Society

Author(s): Keiji Izuchi
Journal: Proc. Amer. Math. Soc. 129 (2001), 3611-3618.
MSC (2000): Primary 46J15
Posted: April 16, 2001
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We study weak infinite products for sequences of Blaschke products. Using properties of these functions, $F_\sigma$ -subsets of zero sets of functions in $H^\infty + C$ are studied. An affirmative answer is given to a problem on prime ideals of $H^\infty + C$ posed by Gorkin and Mortini.

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