Turkish Journal of Mathematics

On Nuclearity of Köthe Spaces
E. KARAPINAR
Department of Mathematics
İzmir University of Economics
35330, İzmir-TURKEY
e-mail: erdal.karapinar@ieu.edu.tr
V. ZAKHARYUTA
Faculty of Engineering and Natural Sciences
Sabanci University
34956, Tuzla, İstanbul-TURKEY
email:zaha@sabanciuniv.edu.tr

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.

Key Words: Complemented embedding, Köthe spaces, nuclearity

Turk. J. Math., 31, (2007), 435-438.
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Other articles published in the same issue: Turk. J. Math.,vol.31,iss.4.