Spaces of Continuous Functions (Hardcover)

G.L.M. Groenewegen

ISBN 10: 9462392005 / ISBN 13: 9789462392007

Edité par Atlantis Press (Zeger Karssen), 2016

A propos de cet article

Hardcover. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

N° de réf. du vendeur 9789462392007

Détails bibliographiques

• Titre: Spaces of Continuous Functions (Hardcover)
• Éditeur: Atlantis Press (Zeger Karssen)
• Date de parution: 2016
• Langue: anglais
• ISBN à 10 chiffres: 9462392005
• ISBN à 13 chiffres: 9789462392007
• Reliure: Hardcover
• État de l'article: new

A propos de ce titre

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.