Facebook Instagram Twitter RSS Feed PodBean Back to top on side

Baire category and standard operations on pairs of continuous functions

In: Tatra Mountains Mathematical Publications, vol. 24, no. 2
Artur Wachowicz
Detaily:
Rok, strany: 2002, 141 - 146
O článku:
Let $C$ denote the space of all real-valued continuous functions on $[0,1]$ with the supremum norm. Let $Φ$ be any of the following operations on $C× C$: addition, multiplication, and composition. We show that the set of all pairs $(f,g)in C× C$ such that $Φ (f,g)$ has not a finite derivative at any point of $[0,1]$ is residual. In the proofs we follow some methods used in the classical theorem of Banach and Mazurkiewicz.
Ako citovať:
ISO 690:
Wachowicz, A. 2002. Baire category and standard operations on pairs of continuous functions. In Tatra Mountains Mathematical Publications, vol. 24, no.2, pp. 141-146. 1210-3195.

APA:
Wachowicz, A. (2002). Baire category and standard operations on pairs of continuous functions. Tatra Mountains Mathematical Publications, 24(2), 141-146. 1210-3195.