A note on vanishing of the functor ext1 for Köthe spaces |
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| Authors: | Mefharet Kocatepe |
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| Institution: | (1) Department of Mathematics Faculty of Engineering and Science, Bilkent University, 06533 Bilkent, Ankara, Turkey |
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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). |
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