The projective limit functor for spectra of webbed spaces
Volume 158 / 2003
Studia Mathematica 158 (2003), 117-129
MSC: 46A13, 46M15, 46M18, 46M40.
DOI: 10.4064/sm158-2-2
Abstract
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.
