Del 4 i serien Atlantis Studies in Mathematics

Spaces of Continuous Functions

Inbunden, Engelska, 2016

1 069 kr

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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.

Produktinformation

Utgivningsdatum2016-06-27
Mått155 x 235 x 16 mm
Vikt448 g
FormatInbunden
SpråkEngelska
SerieAtlantis Studies in Mathematics
Antal sidor173
Upplaga2016
FörlagAtlantis Press (Zeger Karssen)
ISBN9789462392007

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Beräkning och matematisk analys inom Naturvetenskap och teknik

“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’ section where the authors relate a story about some mathematician related with the chapter … .” (Jesús Rodríguez-López, Mathematical Reviews, April, 2017)