Arzelà-Ascoli theorem

The name of a number of theorems that specify the conditions for the limit of a sequence of continuous functions to be a continuous function. One such condition is the quasi-uniform convergence of the sequence.

References

[1]	C. Arzelà, Mem. Accad. Sci. Bologna (5) , 5 (1893) pp. 225–244
[2]	G. Ascoli, Rend. Accad. Lincei , 18 (1883) pp. 521–586
[a1]	N. Dunford, J.T. Schwartz, "Linear operators. General theory" , 1 , Interscience (1958)