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Proceedings of the American Mathematical Society

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ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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A new characterization of $\operatorname {Proj}^1{\mathcal X}=0$ for countable spectra of (LB)-spaces
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by Jochen Wengenroth PDF
Proc. Amer. Math. Soc. 127 (1999), 737-744 Request permission

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.
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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