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. 1st ed. 2016. Hardcover. . . . .

N� de ref. del art�culo V9789462392007

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Detalles bibliogr�ficos

T�tulo: Spaces of Continuous Functions
Editor: Atlantis Press (Zeger Karssen)
Fecha de publicaci�n: 2016
Idioma: Ingl�s
ISBN 10: 9462392005
ISBN 13: 9789462392007
Encuadernaci�n: Encuadernaci�n de tapa dura
Edici�n: 1� Edici�n
Estado: New

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Sinopsis

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.

De la contraportada

Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.

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