Open AccessA nuclear Fréchet space consisting of 𝐶^{∞}-functions and failing the bounded approximation property
Author(s) -
Dietmar Vogt
Publication year - 2009
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-09-10166-1
Subject(s) - algorithm , bounded function , annotation , type (biology) , computer science , artificial intelligence , mathematics , mathematical analysis , geology , paleontology
An easy and transparent example is given of a nuclear Fréchet space failing the bounded approximation property and consisting of C ∞ C^\infty -functions on a subset of R 3 \mathbb {R}^3 .