Presence or absence of analytic structure in maximal ideal spaces
arXiv:1401.2249 · doi:10.1007/s00208-015-1330-9
Abstract
We study extensions of Wermer's maximality theorem to several complex variables. We exhibit various smoothly embedded manifolds in complex Euclidean space whose hulls are non-trivial but contain no analytic disks. We answer a question posed by Lee Stout concerning the existence of analytic structure for a uniform algebra whose maximal ideal space is a manifold.
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