Advances in the Theory of Fréchet Spaces

Frechet spaces have been studied since the days of Banach. These spaces, their inductive limits and their duals played a prominent role in the development of the theory of locally convex spaces. Also they are natural tools in many areas of real and complex analysis. The pioneering work of Grothendie...

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Bibliographic Details
Other Authors: Terziogammalu, T. (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1989, 1989
Edition:1st ed. 1989
Series:Nato Science Series C:, Mathematical and Physical Sciences
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Approximation properties of nuclear Fréchet spaces
  • Topics on projective spectra of (LB)-spaces
  • Applications of the projective limit functor to convolution and partial differential equations
  • Partial differential operators with continuous linear right inverse
  • Hartogs type extension theorem of real analytic solutions of linear partial differential equations with constant coefficients
  • Remarks on the existence of solutions of partial differential equations in Gevrey spaces
  • Tame right inverses for partial differential equations
  • Stein spaces M for which O(M) is isomorphic to a power series space
  • Monomial expansions in infinite dimensional holomorphy
  • Relations between ?0 and ?? on spaces of holomorphic functions
  • Some recent results on VC(X)
  • Projective descriptions of weighted inductive limits: The vector-valued cases
  • On tensor product ?-algebra bundles
  • Quojection and prequojections
  • Nuclear Köthe quotients of Fréchet spaces
  • A note on strict LF-spaces
  • Automatic continuity in Fréchet algebras
  • Some special Köthe spaces
  • On Pelczynski’s problem
  • Some invariants of Fréchet spaces and imbeddings of smooth sequence spaces
  • On complemented subspaces of certain nuclear Köthe spaces
  • Some new methods in the structure theory of nuclear Fréchet spaces
  • Every quojection is the quotient of a countable product of Banach spaces
  • Dual K?mura spaces