Spaces of Continuous Functions (Atlantis Studies in Mathematics)
Language: English
Published by Atlantis Press, 2016
- Hardcover
- New
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- Title
- Spaces of Continuous Functions (Atlantis Studies in Mathematics)
- Author
- Groenewegen, G.L.M.; Van Rooij, A.C.M.
- Publisher
- Atlantis Press
- Publication year
- 2016
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 9462392005
- ISBN 13
- 9789462392007
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
Books Puddle
Woodside, NY, U.S.A.
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AbeBooks seller since November 22, 2018
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