The projective limit functor for spectra of webbed spaces

• Autorzy: L. Frerick , D. Kunkle , J. Wengenroth
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46M40: Inductive and projective limits
• 46M18: Homological methods (exact sequences, right inverses, lifting, etc.)
• 46A13: Spaces defined by inductive or projective limits (LB, LF, etc.)
• 46M15: Categories, functors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 158
• Numer: 2
• Strony: 117-129

Daty

wydano

2003

Twórcy

autor

L. Frerick

• Fachbereich Mathematik, Bergische Universität - GH Wuppertal, D-42097 Wuppertal, Germany

autor

D. Kunkle

• Fachbereich Mathematik, Bergische Universität - GH Wuppertal, D-42097 Wuppertal, Germany
• Theoretische Informatik I, FernUniversität Hagen, D-58084 Hagen, Germany

autor

J. Wengenroth

• Fachbereich IV - Mathematik, Universität Trier, D-54286 Trier, Germany

Identyfikatory

DOI

10.4064/sm158-2-2