Spaces of Continuous Functions (Atlantis Studies in Mathematics, 4)
Groenewegen, G.L.M.; Van Rooij, A.C.M.
ISBN 10: 9462392005 ISBN 13: 9789462392007
Verlag: Atlantis Press, 2016
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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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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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Titel: Spaces of Continuous Functions (Atlantis ...
Verlag: Atlantis Press
Erscheinungsdatum: 2016
Einband: Hardcover
Zustand: New
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Spaces of Continuous Functions
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Buch. Zustand: 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. Artikel-Nr. 9789462392007
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Spaces of Continuous Functions
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