This is an announcement for the paper "An embedding theorem for pseudoconvex domains in Banach spaces" by Aaron Zerhusen.

Abstract: We show that a pseudoconvex open subset of a Banach space with an unconditional basis is biholomorphic to a closed direct submanifold of a Banach space with an unconditional basis.

Archive classification: Complex Variables; Functional Analysis

Mathematics Subject Classification: 32T; 46G20

Remarks: 14 pages

The source file(s), zerhusen.tex: 30421 bytes, is(are) stored in gzipped form as 0511095.gz with size 10kb. The corresponding postcript file has gzipped size 60kb.

Submitted from: azerhus@math.purdue.edu

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http://arXiv.org/abs/math.CV/0511095

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