A remark on condensation of singularities

2012/04/10 by Hardtke, Jan-David
#46A16 #47H99 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1204.2106

Abstract

Recently Alan D. Sokal 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 similiar technique one can give a considerably 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.

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