A note on vanishing of the functor ext1 for Köthe spaces

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A note on vanishing of the functor ext1 for Köthe spaces.pdf (259.36 KB)

Date

1991

Authors

Kocatepe, M.

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Source Title

Manuscripta Mathematica

Print ISSN

0025-2611

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Springer-Verlag

Volume

71

Issue

1

Pages

113 - 119

Language

English

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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). © 1991 Springer-Verlag.

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http://hdl.handle.net/11693/26163

Published Version (Please cite this version)

http://dx.doi.org/10.1007/BF02568397

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Scholarly Publications - Mathematics