Biström, P. and Jaramillo Aguado, Jesús Ángel (1994) C-Infinity-Bounding Sets and Compactness. Mathematica Scandinavica, 75 (1). pp. 82-86. ISSN 0025-5521
![[img]](/style/images/fileicons/application_pdf.png) | PDF Restricted to Repository staff only until 2020. 421Kb |
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 |
|---|---|
| Uncontrolled Keywords: | C1-bounding sets; compactness |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 16787 |
| Deposited On: | 22 Oct 2012 12:11 |
| Last Modified: | 22 Oct 2012 12:11 |
Repository Staff Only: item control page
