Arzelà-Ascoli theorem
From Encyclopedia of Mathematics
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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) |
How to Cite This Entry:
Arzelà–Ascoli theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Arzel%C3%A0%E2%80%93Ascoli_theorem&oldid=38676
Arzelà–Ascoli theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Arzel%C3%A0%E2%80%93Ascoli_theorem&oldid=38676