Authors:
- The book contains many exercises. Some are merely illustrations of the theory, others lead to results used in the text. Solutions to the latter and hints for some of the former are to be found at the back of the book
- The book considers various disciplines within functional analysis, highlighting connections between, e.g. ordering and multiplication, or Banach algebras and Boolean rings
- The book has a chapter on spaces of functions with values in other fields that the real or complex numbers
- Every chapter as an "Extra" of either historical or mathematical character
- Little knowledge is assumed. There are appendices for the basics of normed vector spaces and lattice theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Atlantis Studies in Mathematics (ATLANTISSM, volume 4)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
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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Authors and Affiliations
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Faculty of Education - ILS, HAN University of Applied Sciences, Nijmegen, The Netherlands
G.L.M. Groenewegen
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Faculty of Science - Mathematics, Radboud University, Nijmegen, The Netherlands
A.C.M. van Rooij
Bibliographic Information
Book Title: Spaces of Continuous Functions
Authors: G.L.M. Groenewegen, A.C.M. van Rooij
Series Title: Atlantis Studies in Mathematics
DOI: https://doi.org/10.2991/978-94-6239-201-4
Publisher: Atlantis Press Paris
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Atlantis Press and the author(s) 2016
Hardcover ISBN: 978-94-6239-200-7Published: 27 June 2016
eBook ISBN: 978-94-6239-201-4Published: 17 June 2016
Series ISSN: 1875-7634
Series E-ISSN: 2215-1885
Edition Number: 1
Number of Pages: IX, 173
Number of Illustrations: 23 b/w illustrations