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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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


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:
  • 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:
  • MathSciNet review: 1468208