Items related to Spaces of Continuous Functions: 4 (Atlantis Studies...
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.
"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 this title" may belong to another edition of this title.
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Spaces of Continuous Functions
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Spaces of Continuous Functions (Atlantis Studies in Mathematics, 4)
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Spaces of Continuous Functions
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Spaces of Continuous Functions
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Atlantis Press (Zeger Karssen), NL, 2016
ISBN 10: 9462392005
ISBN 13: 9789462392007
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Hardback. Condition: New. 2016 ed. 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 # LU-9789462392007
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Spaces of Continuous Functions
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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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Spaces of Continuous Functions
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Gebunden. 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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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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Buch. Condition: Neu. 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.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 184 pp. Englisch. Seller Inventory # 9789462392007
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