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Erschienen in:
1981 | OriginalPaper | Buchkapitel
Nuclear Locally Convex Spaces
verfasst von : Dr. phil. Hans Jarchow
Erschienen in: Locally Convex Spaces
Verlag: Vieweg+Teubner Verlag
Enthalten in: Professional Book Archive
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Besides the class of Banach spaces, the nuclear locally convex spaces to be discussed in this chapter surely consitute one of the most important particular classes of locally convex spaces. In a specific sense, nuclear spaces are even closer to finite-dimensional spaces than Banach spaces are. In fact, they enjoy the Heine-Borel property (bounded sets are precompact), and, even more important, unconditional summability for sequences is equivalent to absolute summability.