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Spaces of Continuous Functions

Atlantis Press,
82,38 € Lieferbar in 2-3 Tagen


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; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.


Titel: Spaces of Continuous Functions
Autoren/Herausgeber: G.L.M. Groenewegen, A.C.M. van Rooij
Aus der Reihe: Atlantis Studies in Mathematics
Ausgabe: 1st ed. 2016

ISBN/EAN: 9789462392007

Seitenzahl: 173
Format: 23,5 x 15,5 cm
Produktform: Hardcover/Gebunden
Gewicht: 444 g
Sprache: Englisch - Newsletter
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