Publication:
Bounded Real-Analytic Submanifolds of Banach-Spaces

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http://www.ams.org/journals/proc/1989-105-01/S0002-9939-1989-0931740-9/S0002-9939-1989-0931740-9.pdf
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1989
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American Mathematical Society
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Abstract
It is shown that, in contrast to the complex case, every paracompact finite-dimensional real-analytic manifold can be embedded as a bounded and closed real-analytic submanifold of every infinite-dimensional real Banach space.
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Análisis funcional y teoría de operadores
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V. Aurich, Bounded holomorphic embeddings of the unit disk into Banach spaces, Manuscripta Math. 45(1983), 61-67. A. Bukhvalov and A. Danilevich, Boundary properties of analytic and harmonic functions with values in Banach spaces, Math. Notes 31 (1982), 104-110. H. Grauert, On Levi 's problem and the imbedding of real-analytic manifolds, Ann. of Math. (2)68(1958), 460-472. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces. I, Springer-Verlag, Berlin and New York, 1977.
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https://hdl.handle.net/20.500.14352/57650
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