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Physical Sciences and Mathematics Commons

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Mathematics

2007

Turkish Journal of Mathematics

Complemented embedding

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On Nuclearity Of Köthe Spaces, Erdal Karapinar, V. Zakharyuta Jan 2007

On Nuclearity Of Köthe Spaces, Erdal Karapinar, V. Zakharyuta

Turkish Journal of Mathematics

In this study we observe that the Köthe space K^{l_p}(A) is nuclear if it is isomorphic to a complemented subspace of K^{l_q}(B) for 1\leq p < q < \infty and p < 2.