Biström, P. and Jaramillo Aguado, Jesús Ángel
(1994)
*C-Infinity-Bounding Sets and Compactness.*
Mathematica Scandinavica, 75
(1).
pp. 82-86.
ISSN 0025-5521

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## Abstract

In this article it is proved that any set in a real Banach space on which the C-infinity-functions are bounded, is relatively compact. In particular, for any real Banach space E, a sequence (x(n)) convergences to x in E if and only if f(x(n)) --> S(x) for all f is an element of C-infinity(E).

Item Type: | Article |
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Uncontrolled Keywords: | C1-bounding sets; compactness |

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

ID Code: | 16787 |

Deposited On: | 22 Oct 2012 10:11 |

Last Modified: | 07 Feb 2014 09:35 |

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