Produktbild: Spaces of Continuous Functions

Spaces of Continuous Functions

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Atlantis Studies in Mathematics 4

ISBN: 9462392005
ISBN 13: 9789462392007
Autor: Groenewegen, G L M/van Rooij, A C M
Verlag: Springer Verlag GmbH
Umfang: ix, 173 S., 23 s/w Illustr., 173 p. 23 illus.
Erscheinungsdatum: 27.06.2016
Auflage: 1/2016
Produktform: Gebunden/Hardback
Einband: Gebunden

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.

Artikelnummer: 9237599 Kategorie:

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Springer Verlag GmbH
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E-Mail: juergen.hartmann@springer.com

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