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| Volume 8, Number 3, December 2007, pp. 463-469 | |||||||||
| Patrick N. Dowling, Supaluk Photi and Satit Saejung | |||||||||
| Key words: | |||||||||
| Kadec-Klee property, uniform Kadec-Klee property, direct sum of Banach spaces | |||||||||
| Mathematices Subject Classification: Primary 46B20, 52A21 | |||||||||
|
|||||||||
| Volume 8, Number 3, December 2007, pp. 463-469 | |||||||||
| Patrick N. Dowling, Supaluk Photi and Satit Saejung | |||||||||
| Key words: | |||||||||
| Kadec-Klee property, uniform Kadec-Klee property, direct sum of Banach spaces | |||||||||
| Mathematices Subject Classification: Primary 46B20, 52A21 | |||||||||
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| Abstract: | |||
| We characterize the Kadec-Klee property of various direct sums of Banach spaces, including ψ-direct sums. Corresponding characterizations of the uniform Kadec-Klee property, nearly uniform convexity and the drop property are also obtained.
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| Kadec-Klee and related properties of direct sums of Banach spaces | ||