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

Vogt, Dietmar

doi:10.1090/S0002-9939-09-10166-1

A nuclear Fréchet space consisting of $C^\infty$-functions and failing the bounded approximation property
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Proc. Amer. Math. Soc. 138 (2010), 1421-1423 Request permission

Abstract:

An easy and transparent example is given of a nuclear Fréchet space failing the bounded approximation property and consisting of $C^\infty$-functions on a subset of $\mathbb {R}^3$.

References

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