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Presence or absence of analytic structure in maximal ideal spaces

Authors :
Alexander J. Izzo
Erlend Fornaess Wold
Håkan Samuelsson Kalm
Publication Year :
2014
Publisher :
arXiv, 2014.

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.<br />Comment: Comments are welcome!

Details

Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....441bbc7a632a8eca7539d2a3b0e09df1
Full Text :
https://doi.org/10.48550/arxiv.1401.2249