More on the Function Space C ( X ) $$C(X)$$

Alexander Kharazishvili
Additional contact information
Alexander Kharazishvili: Tbilisi State University, Andrea Razmadze Mathematical Institute

Chapter Chapter 32 in Lectures on Real-valued Functions, 2025, pp 345-355 from Springer

Abstract: Abstract As in the previous chapter, the family C ( X ) $$C(X)$$ of all real-valued continuous functions on a nonempty compact topological space X is considered with its standard sup-norm, i.e., | | f | | = sup { | f ( x ) | : x ∈ X } ( f ∈ C ( X ) ) . $$\displaystyle ||f|| = {\mathrm {sup}}\{|f(x)|: x \in X\}\qquad (f \in C(X)). $$

Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-95369-9_32

Ordering information: This item can be ordered from
http://www.springer.com/9783031953699

DOI: 10.1007/978-3-031-95369-9_32

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().