ON BANACH SPACES INVARIANT UNDER DIFFERENTIATION
Michael LANGENBRUCH,
Carl von Ossietzky Universität Oldenburg, Fachbereich Mathematik, D-26111 Oldenburg, Germany, langenbrucht@mathematik.uni-oldenburg.de
Jürgen VOIGT,
Technische Universität Dresden, Fachrichtung Mathematik, Institut für Analysis, D-01062 Dresden, Germany, voigt@math.tu-dresden.de
Abstract
If E is a Fréchet space which is continuously embedded in ’() and invariant under differentiations then E is already contained in C(). If additionally E is a Banach space then E cannot contain (). We investigate these and several related properties.
12000 MSC: 46F05, 46F10, 46F15
Pour citer cet article
Michael LANGENBRUCH & Jürgen VOIGT, «ON BANACH SPACES INVARIANT UNDER DIFFERENTIATION», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 69 - Année 2000, Numéro 6, 387 - 393 URL : https://popups.uliege.be/0037-9565/index.php?id=1768.
