Geodesic
The projective limit functor for spectra of webbed spaces
L. Frerick 1   ; D. Kunkle 2   ; J. Wengenroth 3
1 Fachbereich Mathematik Bergische Universität – GH Wuppertal D-42097 Wuppertal, Germany
2 Fachbereich Mathematik Bergische Universität – GH Wuppertal D-42097 Wuppertal, Germany and Theoretische Informatik I FernUniversität Hagen D-58084 Hagen, Germany
3 Fachbereich IV – Mathematik Universität Trier D-54286 Trier, Germany
Studia Mathematica, Tome 158 (2003) no. 2, pp. 117-129 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study Palamodov's derived projective limit functor $\mathop {\rm Proj}^1$ for projective spectra consisting of webbed locally convex spaces introduced by Wilde. This class contains almost all locally convex spaces appearing in analysis. We provide a natural characterization for the vanishing of $\mathop {\rm Proj}^1$ which generalizes and unifies results of Palamodov and Retakh for spectra of Fréchet and (LB)-spaces. We thus obtain a general tool for solving surjectivity problems in analysis.
DOI : 10.4064/sm158-2-2
Keywords: study palamodovs derived projective limit functor mathop proj projective spectra consisting webbed locally convex spaces introduced wilde class contains almost locally convex spaces appearing analysis provide natural characterization vanishing mathop proj which generalizes unifies results palamodov retakh spectra chet spaces obtain general tool solving surjectivity problems analysis

L. Frerick  1   ; D. Kunkle  2   ; J. Wengenroth  3

1 Fachbereich Mathematik Bergische Universität – GH Wuppertal D-42097 Wuppertal, Germany
2 Fachbereich Mathematik Bergische Universität – GH Wuppertal D-42097 Wuppertal, Germany and Theoretische Informatik I FernUniversität Hagen D-58084 Hagen, Germany
3 Fachbereich IV – Mathematik Universität Trier D-54286 Trier, Germany 
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L. Frerick; D. Kunkle; J. Wengenroth. The projective limit functor for spectra of webbed spaces. Studia Mathematica, Tome 158 (2003) no. 2, pp. 117-129. doi: 10.4064/sm158-2-2

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