### Impacto

Jaramillo Aguado, Jesús Ángel
(1989)
*Bounded Real-Analytic Submanifolds of Banach-Spaces.*
Proceedings of the American Mathematical Society, 105
(1).
pp. 126-128.
ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/1989-105-01/S0002-9939-1989-0931740-9/S0002-9939-1989-0931740-9.pdf

## 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.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Real Banach space; embedding; real analytic manifold |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 16855 |

References: | 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. |

Deposited On: | 24 Oct 2012 08:26 |

Last Modified: | 07 Feb 2014 09:37 |

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