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
![[img]](/style/images/fileicons/application_pdf.png) | PDF Restricted to Repository staff only until 2020. 290Kb |
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 10:26 |
| Last Modified: | 24 Oct 2012 10:26 |
Repository Staff Only: item control page
