Overview
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.
The book, Spaces of Continuous Functions (Atlantis Studies in Mathematics #4) [Bulk, Wholesale, Quantity] ISBN#9789462392007 in Hardcover by G.L.M. Groenewegen, A.C.M. van Rooij may be ordered in bulk quantities. Minimum starts at 25 copies. Availability based on publisher status and quantity being ordered.
Details
Format:
Hardcover
Publication Date:
06/27/2016
ISBN-13:
9789462392007
Pages:
173
Publisher:
Atlantis Press
