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Proceedings of the American Mathematical Society

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

 

 

A new characterization of $\operatorname{Proj}^1{\mathcal X}=0$
for countable spectra of (LB)-spaces


Author: Jochen Wengenroth
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
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Abstract: The derived projective limit functor Proj¹ 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 Proj¹ 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

DOI: https://doi.org/10.1090/S0002-9939-99-04559-1
Keywords: Derived projective limit functor, Retakh's condition, weakly acyclic (LF)-spaces
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
Article copyright: © Copyright 1999 American Mathematical Society