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RIEMANN DOMAINS OVER BANACH-GRASSMANN MANIFOLDS
Asian-European Journal of Mathematics, 2009Let E be a complex Banach space with a Schauder basis and let G(E; r) be the Grassmann manifold of all r-dimensional complex linear subspaces in E. Let (ω, φ) be a Riemann domain over G(E; r) with ω ≠ G(E; r). Then we show that ω is a domain of existence if and only if ω is pseudoconvex.
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Differentiable Closed Embeddings of Banach Manifolds
1970In this paper a manifold X is a C k -manifold which is paracompact, normal, separable, and of differentiability class k, modelled on a separable Banach space B, whose norm is a k-times continuously differentiable function outside 0∈B, k≦ ∞. B with that norm is called a C k -Banach space.
Nicolaas H. Kuiper +1 more
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Open Embeddings of Certain Banach Manifolds
The Annals of Mathematics, 1970Eells, J., Elworthy, K. D.
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