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Synopsis
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.
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Review
“This book is a good beginning for people interested in the subject as well as students. The book comprises twelve chapters with a good number of interesting exercises which complement and complete the theory. At the end of the book solutions for the most important exercises as well as hints for others are included. Futhermore, every chapter contains an ‘Extra’ section where the authors relate a story about some mathematician related with the chapter ... .” (Jesús Rodríguez-López, Mathematical Reviews, April, 2017)
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- PublisherAtlantis Press
- Publication date2016
- ISBN 10 9462392005
- ISBN 13 9789462392007
- BindingHardcover
- LanguageEnglish
- Number of pages182
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Spaces of Continuous Functions (Atlantis Studies in Mathematics, 4)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
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Spaces of Continuous Functions
Print on DemandSeller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 184 pp. Englisch. Seller Inventory # 9789462392007
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Spaces of Continuous Functions
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Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9789462392007
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Spaces of Continuous Functions
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The book contains many exercises. Some are merely illustrations of the theory, others lead to results used in the text. Solutions to the latter and hints for some of the former are to be found at the back of the bookThe book considers variou. Seller Inventory # 449920721
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Spaces of Continuous Functions
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Hardcover. Condition: Brand New. 9.25x6.25x0.50 inches. In Stock. Seller Inventory # x-9462392005
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