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A note on some uniform geometrical properties in Banach spaces
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In this paper, we investigate relationship between superreflexivity and weak property (beta_k). Indeed, we get the following diagram. (formula)
Abstract
In this paper, we investigate relationship between superreflexivity and weak property (beta_k). Indeed, we get the following diagram. (formula)
참고문헌 (5)
- B. Beauzamy, "Introduction to Banach spaces and their geometry", Mathematics Studies, 68 (1982), Noth-Holland
- 조규근, "WEAK PROPERTY (Bk)", 한국수학논문집, 20(4), pp.415~422 (2012), 강원경기수학회[DOI]
- 조규근, "SUPERREFLEXIVITY AND PROPERTY (D_k) IN BANACH SPACES", Journal of Applied Mathematics and Informatics, 29(3), pp.1001~1006 (2011), 한국전산응용수학회
- S. Kakutani, "Weak convergence in uniformly convex spaces", Tohoku Math. J, 45, pp.347~354 (1938)
- T. Nishiura, "Reflexivity and summability", Studia Math, 23, pp.53~57 (1963)
관련 논문AI추천
SOME UNIFORM GEOMETRICAL PROPERTIES IN BANACH SPACES이종성, 조규근대한수학회 · 대한수학회보2015 · 제52권 제2호Some geometric property of Banach spaces-property (Ck)이종성, 조규근강원경기수학회 · 한국수학논문집2009 · 제17권 제3호Characterizations of geometrical properties of Banach spaces using Ψ-direct sumsJun Zheng, Lan Shu, Yuling Yang, Zhihua Zhang대한수학회 · 대한수학회보2013 · 제50권 제2호Alternate signs (A_k) property in Banach spaces이종성, 조규근강원경기수학회 · 한국수학논문집2011 · 제19권 제3호The separable weak bounded approximation property이근영대한수학회 · 대한수학회보2015 · 제52권 제1호Research on normal structure in a Banach space via some parameters in its dual spaceJi Gao대한수학회 · 대한수학회논문집2019 · 제34권 제2호
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