English

A remark on condensation of singularities

Functional Analysis 2012-04-11 v1

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.

Keywords

Cite

@article{arxiv.1204.2106,
  title  = {A remark on condensation of singularities},
  author = {Jan-David Hardtke},
  journal= {arXiv preprint arXiv:1204.2106},
  year   = {2012}
}

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7 pages