The projective limit functor for spectra of webbed spaces

L. Frerick, D. Kunkle, and J. Wengenroth. "The projective limit functor for spectra of webbed spaces." Studia Mathematica 158.2 (2003): 117-129. <http://eudml.org/doc/285214>.

@article{L2003,
abstract = {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.},
author = {L. Frerick, D. Kunkle, J. Wengenroth},
journal = {Studia Mathematica},
keywords = {projective limit functor; derived functor; webbed spaces; Retakh's theorem},
language = {eng},
number = {2},
pages = {117-129},
title = {The projective limit functor for spectra of webbed spaces},
url = {http://eudml.org/doc/285214},
volume = {158},
year = {2003},
}

TY - JOUR
AU - L. Frerick
AU - D. Kunkle
AU - J. Wengenroth
TI - The projective limit functor for spectra of webbed spaces
JO - Studia Mathematica
PY - 2003
VL - 158
IS - 2
SP - 117
EP - 129
AB - 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.
LA - eng
KW - projective limit functor; derived functor; webbed spaces; Retakh's theorem
UR - http://eudml.org/doc/285214
ER -