On Nuclearity of Köthe Spaces

Authors: ERDAL KARAPINAR, V. ZAKHARYUTA

Abstract: 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.

Keywords: Complemented embedding, Köthe spaces, nuclearity

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