Erscheint: Oktober 2026
Buch (Hardcover): Fachbuch
The Compact-Open Topology on C(X)
Verlag:
Springer Verlag Unsere-Artikel-Nr.: P35013755
EAN: 9783032356710
Erscheint: Oktober 2026
Versand: Kostenlos
-15.4 %
CHF 188.–
CHF 159.–
Beschreibung
This monograph offers a comprehensive study on the classical Compact-Open topology on the space C(X) of all real valued continuous functions on a Tychonoff space X. It makes C(X) a locally convex space. The space C(X) equipped with the compact-open topology k is denoted by Ck(X). In this monograph, the authors have adopted an analytical approach, by considering Ck(X) as a locally convex space. Consequently, the authors give easy and shorter proofs of several results about Ck(X). The authors also provide a short historic perspective on compact-open topology. This monograph touches almost all aspects of the compact-open topology. In particular, it includes a detailed study of the topological properties of compact-open topology on C(X). A complete chapter is devoted to study compact and dense subsets of the space Ck(X). Since Ck(X) is a locally convex space, in Chapter 8, the authors provide a detailed study of the dual of this locally convex space. In the final chapter, the authors present several functional analytic properties of this locally convex space. This monograph has a wide appeal to mathematicians in various fields. Chapters 2, 4 and 5 are of interest to topologists, while Chapters 8 and 9 are of interest to functional analysts. Chapters 3, 6 and 7, meanwhile, are of interest to both topologists and functional analysts.
Spezifikationen
Sprache
- Englisch
Autor
- Subiman Kundu
- Varun Jindal
Zielgruppe
- Graduate
Erscheinungsjahr
- 2026
Format
- Buch (Hardcover)
Anzahl Seiten
- 207