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Some Special Köthe Spaces

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Advances in the Theory of Fréchet Spaces

Part of the book series: NATO ASI Series ((ASIC,volume 287))

Abstract

The aim of this survey is to gather the results concerning the structure of some special Köthe spaces, namely power series spaces, Dragilev spaces, Köthe spaces defined by transition functions and S g (a, r)-spaces. The results that we summarize here are about subspaces, quotient spaces, compact operators, the functor Ext, the quasi-equivalence property and Bessaga’s conjecture by means of which one can acquire quite extensive knowledge about the structure of these spaces. We also list some classical and recently established examples of function spaces which are isomorphic to one of these spaces.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Bilkent University, Ankara, Turkey

    M. Kocatepe

  2. Department of Mathematics, Middle East Technical University, Ankara, Turkey

    Z. Nurlu

Authors
  1. M. Kocatepe
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  2. Z. Nurlu
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Editor information

Editors and Affiliations

  1. Middle East Technical University, Ankara, Turkey

    T. Terzioñlu

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© 1989 Kluwer Academic Publishers

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Kocatepe, M., Nurlu, Z. (1989). Some Special Köthe Spaces. In: Terzioñlu, T. (eds) Advances in the Theory of Fréchet Spaces. NATO ASI Series, vol 287. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2456-7_18

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  • DOI: https://doi.org/10.1007/978-94-009-2456-7_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7608-1

  • Online ISBN: 978-94-009-2456-7

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