Spaces of Continuous Functions
The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given.Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; i…
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Produktdetails
Weitere Autoren: Rooij, A. C. M. van
- ISBN: 978-94-6239-201-4
- EAN: 9789462392014
- Produktnummer: 20107962
- Verlag: Springer-Verlag GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2016
- Seitenangabe: 173 S.
- Plattform: PDF
- Masse: 6'376 KB
- Auflage: 1st ed. 2016
- Abbildungen: 23 schwarz-weiße Abbildungen, Bibliographie
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