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Spaces of Continuous Functions
G. L. M. Groenewegen
€ 102.63
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Description for Spaces of Continuous Functions
Hardcover. 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.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
Atlantis Press (Zeger Karssen)
Condition
New
Series
Atlantis Studies in Mathematics
Number of Pages
173
Place of Publication
, Netherlands
ISBN
9789462392007
SKU
V9789462392007
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Spaces of Continuous Functions
This book is a good beginning for people interested in the subject as well as students. The book comprises twelve chapters with a good number of interesting exercises which complement and complete the theory. At the end of the book solutions for the most important exercises as well as hints for others are included. Futhermore, every chapter contains an `Extra' ... Read more