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[edit]

[1] |  C. Arzelà, Mem. Accad. Sci. Bologna (5) , 5 (1893) pp. 225–244

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[2] |  G. Ascoli, Rend. Accad. Lincei , 18 (1883) pp. 521–586
[a1] |  N. Dunford, J.T. Schwartz, "Linear operators. General theory" , 1 , Interscience (1958)