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, Volume 71, Issue 1, pp 113–119 | Cite as

A note on vanishing of the functor ext1 for Köthe spaces

  • Mefharet Kocatepe
Article
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Abstract

In this note we study the relationship between the vanishing of Ext1(λ(A), λ(A)) and the existence of a regular basis in the Köthe space λ(A). We construct an example of a nuclear Köthe space λ(A) with no regular basis and such that Ext1(λ(A), λ(A))=0. Then we show that for some classes of Köthe spaces λ(A), the vanishing of Ext1(λ(A), λ(A)) yields a regular basis for λ(A).

Keywords

Limit Point Studia Math Comparable Growth Rate Infinite Type Fr6chet Space 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Mefharet Kocatepe
    • 1
  1. 1.Department of Mathematics Faculty of Engineering and ScienceBilkent UniversityBilkent, AnkaraTurkey

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