\(F\)-quotients and envelope of \(F\)-holomorphy. (English) Zbl 0789.46041
Summary: Let \(E\) be a complex Banach space, let \(F\) be a closed subspace of \(E\), and let \(\pi: E\to E/F\) be the canonical quotient mapping. The concept of envelope of \(F\)-holomorphy of a connected open subset \(U\) of \(E\) is defined and studied. The main result states that the pull-back \({\mathcal E}^*(U)\) of the envelope of holomorphy of \(\pi(U)\) constructed by Schottenloher is the envelope of \(F\)-holomorphy of \(U\).
References:
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