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Spaces of Continuous Functions (Hardcover) (G. L. M. Groenewegen)

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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.
Genre: Mathematics
Series Title: Atlantis Studies in Mathematics
Format: Hardcover
Publisher: Springer Verlag
Author: G. L. M. Groenewegen
Language: English
Street Date: June 27, 2016
TCIN: 51646448
UPC: 9789462392007
Item Number (DPCI): 248-27-4206

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