Spaces of Continuous Functions (Atlantis Studies in Mathematics, 4, Band 4) - Hardcover

Groenewegen, G.L.M.; Van Rooij, A.C.M.

 
9789462392007: Spaces of Continuous Functions (Atlantis Studies in Mathematics, 4, Band 4)
Hardcover
ISBN 10: 9462392005 ISBN 13: 9789462392007
Verlag: Atlantis Press, 2016

Inhaltsangabe

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Atlantis Press
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
9462392005
ISBN 13 
9789462392007
Einband
Gebundene Ausgabe
Anzahl der Seiten
182
Kontakt zum Hersteller
Nicht verfügbar
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Europaplatz 3
Heidelberg
69115
Deutschland

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Softcover