A remark on condensation of singularities

zbMATH Open1303.46007arXiv1204.2106MaRDI QIDQ2870977

Jan-David Hardtke

Publication date: 21 January 2014

Published in: (Search for Journal in Brave)

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. G'al.

Full work available at URL: https://arxiv.org/abs/1204.2106

zbMATH Keywords

uniform boundedness principlequasi-Banach spaceshomogenous operatorsprinciple of condensation of singularities

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Nonlinear operators and their properties (47H99)

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