A new characterization of $\operatorname {Proj}^1{\mathcal X}=0$ for countable spectra of (LB)-spaces
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Abstract:
The derived projective limit functor Proj$^1$ is a very useful tool for investigating surjectivity problems in various parts of analysis (e.g. solvability of partial differential equations). We provide a new characterization for vanishing Proj$^1$ on projective spectra of (LB)-spaces which improves a classical result of V. P. Palamodov and V. S. Retakh.References
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Additional Information
- Jochen Wengenroth
- Affiliation: FB IV – Mathematik, Universität Trier, D – 54286 Trier, Germany
- Email: wengen@uni-trier.de
- Received by editor(s): January 9, 1997
- Received by editor(s) in revised form: June 10, 1997
- Additional Notes: The main result of this paper was obtained during a visit at the Polytechnical University of Valencia in March 1996. The author thanks J. Bonet and A. Peris for their kind hospitality.
- Communicated by: Dale Alspach
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 737-744
- MSC (1991): Primary 46A13, 46M15
- DOI: https://doi.org/10.1090/S0002-9939-99-04559-1
- MathSciNet review: 1468208