Proceedings of the American Mathematical Society

A nuclear Fréchet space consisting of $C^\infty$ -functions and failing the bounded approximation property

Author(s): Dietmar Vogt
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 46A04; Secondary 46A11
Posted: November 3, 2009
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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 $\mathbb{R}^3$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 46A04, 46A11

Dietmar Vogt
Affiliation: Fachbereich C-Mathematik und Naturwissenschaften, Bergische Universität Wuppertal, D-42097 Wuppertal, Germany
Email: dvogt@math.uni-wuppertal.de

DOI: 10.1090/S0002-9939-09-10166-1
PII: S 0002-9939(09)10166-1
Received by editor(s): January 11, 2009,
Received by editor(s) in revised form: August 13, 2009
Posted: November 3, 2009
Communicated by: Nigel J. Kalton
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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