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Erschienen in:
2018 | OriginalPaper | Buchkapitel
3. Special Spaces
verfasst von : Sergei Ovchinnikov
Erschienen in: Functional Analysis
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Abstract
Topological, metric, and normed vector spaces are abstract spaces that together with operators on these spaces are major objects of study in functional analysis. These spaces are briefly introduced in Section 3.1. However, many concrete spaces not only serve as examples (and counterexamples) in the theory, but themselves are of significant theoretical importance. In the main body of this chapter (Sections 3.2–3.7) some of these spaces are described, and their main topological and metric properties are established.