Difference between revisions of "Arzelà-Ascoli theorem"
From Encyclopedia of Mathematics
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| − | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> C. Arzelà, ''Mem. Accad. Sci. Bologna (5)'' , '''5''' (1893) pp. 225–244</TD></TR><TR><TD valign="top">[2]</TD> <TD valign="top"> G. Ascoli, ''Rend. Accad. Lincei'' , '''18''' (1883) pp. 521–586</TD></TR> | + | <table> |
| − | + | <TR><TD valign="top">[1]</TD> <TD valign="top"> C. Arzelà, ''Mem. Accad. Sci. Bologna (5)'' , '''5''' (1893) pp. 225–244</TD></TR> | |
| − | + | <TR><TD valign="top">[2]</TD> <TD valign="top"> G. Ascoli, ''Rend. Accad. Lincei'' , '''18''' (1883) pp. 521–586</TD></TR> | |
| − | + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> N. Dunford, J.T. Schwartz, "Linear operators. General theory" , '''1''' , Interscience (1958)</TD></TR> | |
| − | + | </table> | |
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[[Category:Functional analysis]] | [[Category:Functional analysis]] | ||
Latest revision as of 18:33, 11 April 2023
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-Ascoli_theorem&oldid=53769
Arzelà-Ascoli theorem. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Arzel%C3%A0-Ascoli_theorem&oldid=53769
This article was adapted from an original article by P.S. Aleksandrov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article