Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Whitney convergence

Sortuj według:

Ogranicz wyniki do:

On Whitney convergence

Kowalczyk S.

Journal of Applied Analysis

2009

Vol. 15, nr 1

139-148

In this paper we describe the W-convergence in C(X, Y) where X is a normal topological space, (Y, d) is a metric space and C(X, Y) is the space of all continuous functions from X to Y. The main theorem of this paper states that the sequence (fn)n∈N of functions from C(X, Y) is W-convergent to a function f ∈ C(X, Y) if and only if it is uniformly convergent to f and there exists a countably compact subset K ⊂ X such that if U is a neighborhood of K then there exists n0 ∈ N for which [wzór]