A nuclear Fréchet space consisting of 𝐶^{∞}-functions and failing the bounded approximation property-Reference-Cited by-同舟云学术

A nuclear Fréchet space consisting of 𝐶^{∞}-functions and failing the bounded approximation property

Published:2009-11-03 Issue:4 Volume:138 Page:1421-1423
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Vogt Dietmar

Abstract

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 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-04/S0002-9939-09-10166-1/S0002-9939-09-10166-1.pdf

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