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On a convexity in fuzzy normed linear spaces
조규근 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.22 No.3
In this paper, we introduce the definitions of uniform nonsquareness, property $(B_k)$ and $B$-convexity in fuzzy setting and study their implications.
SUPERREFLEXIVITY AND PROPERTY (D_k) IN BANACH SPACES
조규근,이종성 한국전산응용수학회 2011 Journal of applied mathematics & informatics Vol.29 No.3
In this paper, we study the relation between superreflexivity (SR) and property (D_k) in Banach spaces and get the following diagrams. [수식] In this paper, we study the relation between superreflexivity (SR) and property (D_k) in Banach spaces and get the following diagrams. [수식]
Some convex properties in Banach spaces
조규근,이총성 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.1
In this paper, we study property (B₂) and property (D₂) and their implications.
SOME UNIFORM GEOMETRICAL PROPERTIES IN BANACH SPACES
조규근,이종성 대한수학회 2015 대한수학회보 Vol.52 No.2
In this paper, we investigate relationships among property (k-β), weak property (βk), k-nearly uniformly convexity and property (Ak).
PROPERTY (Dk) IN BANACH SPACES
조규근,이종성 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.5
In this paper, we de¯ne property (Dk) and get the following strict implications. [수식]
Averaging properties and spreading models
조규근,이종성 대한수학회 2005 대한수학회지 Vol.42 No.5
In this paper, we study averaging properties in Banachspaces using the Brunel-Sucheston's spreading model. We show thatthe Schlumprecht space S does not have the Banach-Saks propertyand l_1 is finitely representable in the Schlumprecht space Susing the spreading model properties.
Alternate signs averaging properties in Banach spaces
조규근,이종성 한국전산응용수학회 2004 Journal of applied mathematics & informatics Vol.16 No.-
In this paper, we rst seek the equivalent statements with averagingproperties in terms of the regular summability method, secondly dene some newaveraging properties and study their implications. Finally, we investigate thequestion of what property is dual to the Banach-Saks property suggested by C.Seifert.