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A new characterization of  for countable spectra of (LB)-spaces
Author(s):
Jochen
Wengenroth
Journal:
Proc. Amer. Math. Soc.
127
(1999),
737-744.
MSC (1991):
Primary 46A13, 46M15
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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:
10.1090/S0002-9939-99-04559-1
PII:
S 0002-9939(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
Copyright of article:
Copyright
1999,
American Mathematical Society
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