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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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 (Atlantis Studies in Mathematics)
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Spaces of Continuous Functions: 4 (Atlantis Studies in Mathematics, 4)
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Condition: New. Series: Atlantis Studies in Mathematics. Num Pages: 182 pages, 23 black & white illustrations, biography. BIC Classification: PBKF; PBKL. Category: (G) General (US: Trade). Dimension: 243 x 165 x 16. Weight in Grams: 434. . 2016. 2016th Edition. hardcover. . . . . Seller Inventory # V9789462392007