Geodesic
A Remark on Condensation of Singularities
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013), pp. 448-454

Voir la notice de l'article provenant de la source Math-Net.Ru

Recently Alan D. Sokal in Amer. Math. Monthly 118 (2011), No. 5, 450–452, gave a very short and completely elementary proof of the uniform boundedness principle. The aim of this note is to point out that by using a similar technique one can give a short and simple proof of a stronger statement, namely a principle of condensation of singularities for certain double-sequences of non-linear operators on quasi-Banach spaces, which is a bit more general than a result of I. S. Gál from Duke Math. J. 20 (1953), No. 1, 27–35. 
@article{JMAG_2013_9_a1,
     author = {J.-D. Hardtke},
     title = {A {Remark} on {Condensation} of {Singularities}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {448--454},
     publisher = {mathdoc},
     volume = {9},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2013_9_a1/}
}
TY  - JOUR
AU  - J.-D. Hardtke
TI  - A Remark on Condensation of Singularities
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2013
SP  - 448
EP  - 454
VL  - 9
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JMAG_2013_9_a1/
LA  - en
ID  - JMAG_2013_9_a1
ER  - 
%0 Journal Article
%A J.-D. Hardtke
%T A Remark on Condensation of Singularities
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2013
%P 448-454
%V 9
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JMAG_2013_9_a1/
%G en
%F JMAG_2013_9_a1
J.-D. Hardtke. A Remark on Condensation of Singularities. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2013), pp. 448-454. http://geodesic.mathdoc.fr/item/JMAG_2013_9_a1/