We study Palamodov's derived projective limit functor Proj¹ 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 Proj¹ 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-2,
author = {L. Frerick and D. Kunkle and J. Wengenroth},
title = {The projective limit functor for spectra of webbed spaces},
journal = {Studia Mathematica},
volume = {157},
year = {2003},
pages = {117-129},
zbl = {1039.46001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-2}
}
L. Frerick; D. Kunkle; J. Wengenroth. The projective limit functor for spectra of webbed spaces. Studia Mathematica, Tome 157 (2003) pp. 117-129. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm158-2-2/