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Spaces of Continuous Functions
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 whi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Paris :
Atlantis Press : Imprint: Atlantis Press,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | Atlantis Studies in Mathematics,
4 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-94-6239-201-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220116042340.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160617s2016 fr | s |||| 0|eng d | ||
| 020 | |a 9789462392014 |9 978-94-6239-201-4 | ||
| 024 | 7 | |a 10.2991/978-94-6239-201-4 |2 doi | |
| 050 | 4 | |a QA319-329.9 | |
| 072 | 7 | |a PBKF |2 bicssc | |
| 072 | 7 | |a MAT037000 |2 bisacsh | |
| 072 | 7 | |a PBKF |2 thema | |
| 082 | 0 | 4 | |a 515.7 |2 23 |
| 100 | 1 | |a Groenewegen, G.L.M. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Spaces of Continuous Functions |h [electronic resource] / |c by G.L.M. Groenewegen, A.C.M. van Rooij. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Paris : |b Atlantis Press : |b Imprint: Atlantis Press, |c 2016. | |
| 300 | |a IX, 173 p. 23 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Atlantis Studies in Mathematics, |x 2215-1885 ; |v 4 | |
| 505 | 0 | |a Topological Preliminaries -- Metrizable Compact Spaces -- The Stone-Weierstrass Theorem -- Weak Topologies. The Alaoglu Theorem -- Riesz Spaces -- Yosida's Representation Theorem -- The Stone-Čech compactification -- Evaluations -- C(X) determines X -- The Riesz Representation Theorem -- Banach Algebras -- Other Scalars. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Measure and Integration. |
| 700 | 1 | |a van Rooij, A.C.M. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789462392007 |
| 776 | 0 | 8 | |i Printed edition: |z 9789462392021 |
| 830 | 0 | |a Atlantis Studies in Mathematics, |x 2215-1885 ; |v 4 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.2991/978-94-6239-201-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||