On Nuclearity of Köthe Spaces
In this study we observe that the Köthe space Klp(A) is nuclear if it is isomorphic to a complemented subspace of Klq(B) for 1\leq p < q < \infty and p < 2.
Anahtar Kelimeler:
Complemented embedding, Köthe spaces, nuclearity
On Nuclearity of Köthe Spaces
In this study we observe that the Köthe space Klp(A) is nuclear if it is isomorphic to a complemented subspace of Klq(B) for 1\leq p < q < \infty and p < 2.
Keywords:
Complemented embedding, Köthe spaces, nuclearity,
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- Djakov, P. B., ¨Onal, S., Terzio˘glu, T., Yurdakul, M.: Strictly singular operators and isomor- phisms of Cartesian products of power series spaces., Arc.Math. 70, 57-65, (1998).
- Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces,I,II, Springer, Berlin 1977, 1979.
- Meise, R., Vogt, D.: Introduction to Functional Analysis, Springer, Berlin 1997. E. KARAPINAR
- Department of Mathematics ˙Izmir University of Economics , ˙Izmir-TURKEY e-mail: erdal.karapinar@ieu.edu.tr V. ZAKHARYUTA Faculty of Engineering and Natural Sciences Sabanci University , Tuzla, ˙Istanbul-TURKEY email:zaha@sabanciuniv.edu.tr
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
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