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Locally Uniformly Convex Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1955 which we shall call local uniform convexity. Geometrically this differs from uniform convexity in that it is required that one end point of the variable chord remain fixed. In section I we prove a general theorem on the product of locally uniformly convex Banach spaces and with the aid of this theorem we establish that the two notions are actually ...
A. R. Lovaglia
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ON UNIFORMLY CONVEX AND UNIFORMLY 2-CONVEX 2-NORMED SPACES [PDF]
Demonstratio Mathematica, 1992 The author starts with the definition of two-norm on a linear space of dimension greater than 1 and defines a uniformly convex 2-normed space extending the definition of J. A. Clarkson. Theorems 1-5 and some corollaries are established on uniformly convex and uniformly 2-convex 2- normed spaces.
C.-S. Lin
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Uniformly convex-transitive function spaces [PDF]
The Quarterly Journal of Mathematics, 2009 We introduce a property of Banach spaces called uniform convex-transitivity, which falls between almost transitivity and convex-transitivity. We will provide examples of uniformly convex-transitive spaces. This property behaves nicely in connection with some Banach-valued function spaces.
F. Rambla-Barreno, Jarno Talponen
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Partial Mielnik spaces and characterization of uniformly convex spaces [PDF]
Proceedings of the American Mathematical Society, 1976 We characterize uniform convexity of normed linear spaces in terms of a functional inequality generalizing Clarkson’s inequality for L p {L_p} spaces. This inequality can be interpreted as saying that the unit sphere of the space carries a structure slightly weaker than a probability space in the ...
Andreas Blass, Č. V. Stanojević
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Some uniformly convex spaces [PDF]
Bulletin of the American Mathematical Society, 1940 R. P. Boas
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A Generalization of Uniformly Extremely Convex Banach Spaces [PDF]
Journal of Function Spaces, 2016 We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes ofk-uniformly rotund spaces andk-strongly convex spaces or classes of fullyk-convex spaces andk-strongly convex spaces and has no ...
Suyalatu Wulede +2 more
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Reflexive Banach spaces not isomorphic to uniformly convex spaces [PDF]
Bulletin of the American Mathematical Society, 1941 Mahlon M. Day
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Strict Convexity and Uniform Convexity in Linear 2-normed Spaces
Journal of Harbin University of Science and Technology, 2021 Linear 2-normed space is a generalization of linear normed space, which defines a more extensive norm. In this paper, we get contraction mapping theorem in linear 2-normed space holds, and the set of fixed points for nonexpansive mapping is convex when ...
LI Shan-shan, CUI Yun-an
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Fixed point theorems in uniformly convex Banach spaces
Ratio Mathematica, 2023 In this article, we establish a concept of fixed point result in Uniformly convex Banach space. Our main finding uses the Ishikawa iteration technique in uniformly convex Banach space to demonstrate strong convergence.
Manoj Karuppasamy, R. Jahir Hussain
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