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Some geometric property of Banach spaces-property (Ck)

조규근|이종성
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.09|한국수학논문집 (Korean Journal of Mathematics)|제17권 제3호|pp. 237-244

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참고문헌

키워드

Banach-Saks propertyProperty (Ck)uniform convexity
주제분류수학

초록

In this paper, we define property (Ck) and show that property (Ck) implies property (Ck+1). The converse does not hold. Moreover, we prove that property (Ck) implies the Banach-Saks property.

Abstract

In this paper, we define property (Ck) and show that property (Ck) implies property (Ck+1). The converse does not hold. Moreover, we prove that property (Ck) implies the Banach-Saks property.

참고문헌 (8)

  1. A. Baernstein, "On reflexivity and summability", Studia Math, 42, pp.91~94 (1972)
  2. S. Banach, "Sur convergence forte dans les champs Lp", Studia Math, 2, pp.51~57 (1930)
  3. J. Diestel, "Geometry of Banach Spaces - Selected Topics" (1975), Springer-Verlag
  4. J. Diestel, "Sequences and Series in Banach Spaces" (1984), Springer-Verlag
  5. S. Kakutani, "Weak convergence in uniformly convex spaces", T^ohoku Math. J., 45, pp.188~193 (1938)
  6. T. Nishiura, "Reflexivity and summability", Studia Math, 23, pp.53~57 (1963)
  7. J. Schreier, "Ein Gegenbeispeil zur Theorie der schwachen Konvergenz", Studia Math, 2, pp.58~62 (1930)
  8. C. J. Seifert, "The dual of Baernstein's space and the Banach-Saks property", Bull. Acad. Polon. Sci, 26, pp.237~239 (1978)

관련 논문AI추천

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