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Nato Science Series C:

Advances in the Theory of Fréchet Spaces

Editors: Terziogammalu, T. (Ed.)

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About this book

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 Grothendieck in the fifties has been one of the important sources of inspiration for research in the theory of Frechet spaces. A structure theory of nuclear Frechet spaces emerged and some important questions posed by Grothendieck were settled in the seventies. In particular, subspaces and quotient spaces of stable nuclear power series spaces were completely characterized. In the last years it has become increasingly clear that the methods used in the structure theory of nuclear Frechet spaces actually provide new insight to linear problems in diverse branches of analysis and lead to solutions of some classical problems. The unifying theme at our Workshop was the recent developments in the theory of the projective limit functor. This is appropriate because of the important role this theory had in the recent research. The main results of the structure theory of nuclear Frechet spaces can be formulated and proved within the framework of this theory. A major area of application of the theory of the projective limit functor is to decide when a linear operator is surjective and, if it is, to determine whether it has a continuous right inverse.

Table of contents (24 chapters)

Table of contents (24 chapters)
  • Approximation Properties of Nuclear Frechet Spaces

    Pages 1-10

    Dubinsky, Ed

  • Topics on Projective Spectra of (LB)-Spaces

    Pages 11-27

    Vogt, Dietmar

  • Applications of the Projective Limit Functor to Convolution and Partial Differential Equations

    Pages 29-46

    Braun, Rüdiger W. (et al.)

  • Partial Differential Operators with Continuous Linear Right Inverse

    Pages 47-62

    Meise, R. (et al.)

  • Hartogs Type Extension Theorem of Real Analytic Solutions of Linear Partial Differential Equations with Constant Coefficients

    Pages 63-72

    Kaneko, A.

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-94-009-2456-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $299.99
price for USA in USD
  • ISBN 978-0-7923-0435-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $199.99
price for USA in USD
  • ISBN 978-94-010-7608-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Advances in the Theory of Fréchet Spaces
Editors
  • T. Terziogammalu
Series Title
Nato Science Series C:
Series Volume
287
Copyright
1989
Publisher
Springer Netherlands
Copyright Holder
Kluwer Academic Publishers
eBook ISBN
978-94-009-2456-7
DOI
10.1007/978-94-009-2456-7
Hardcover ISBN
978-0-7923-0435-7
Softcover ISBN
978-94-010-7608-1
Series ISSN
1389-2185
Edition Number
1
Number of Pages
XVIII, 364
Topics