共查询到20条相似文献,搜索用时 15 毫秒
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Ronald E Bruck 《Journal of Mathematical Analysis and Applications》1982,88(2):319-332
Suppose (X, d) is a metric space and {T0,…, TN} is a family of quasinonexpansive self-mappings on X. We give conditions sufficient to guarantee that every possible iteration of mappings drawn from {T0,…, TN} converges. As a consequence, if C0,…, CN are closed convex subsets of a Hilbert space with nonempty intersection, one of which is compact, and the proximity mappings are iterated in any order (provided only that each is used infinitely often), then the resulting sequence converges strongly to a point of the common intersection. 相似文献
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Henri Heinich 《Journal of Theoretical Probability》2006,19(2):509-534
In this paper, we generalize the Kantorovich functional to K?the-spaces for a cost or a profit function. We examine the convergence
of probabilities with respect to this functional for some K?the-spaces. We study the Monge problem: Let
be a K?the-space, P and Q two Borel probabilities defined on a Polish space M and a cost function
. A K?the functional
is defined by
(P, Q) = inf
where
is the law of X. If c is a profit function, we note
. (P, Q) = sup
Under some conditions, we show the existence of a Monge function, φ, such that
, or
.
相似文献
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Mathematical Notes - For every n = 2, 3,…, the minimum of the Steiner subratio is found for n-point sets in Banach spaces, and an example of a Banach space is constructed for which this... 相似文献
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A Banach space X possesses the PC (point of continuity) property if for any w-closed bounded subset A ? X the identity map (A,w)→(A, ∥ ? ∥) has a point of continuity (w is the weak topology in X). We deduce some criteria for Banach spaces to have the PC property and describe (for dual Banach spaces) relationships between spaces possessing the PC property and spaces possessing the RN or the WRN property.
相似文献7.
Commutative semisimple Banach algebras that admit exactly one uniform norm (not necessarily complete) are investigated. This unique uniform norm property is completely characterized in terms of each of spectral radius, Silov boundary, set of uniqueness, semisimple norms; and its connection with recently investigated concepts like spectral extension property, multiplicative Hahn Banach extension property and permanent radius are revealed. Several classes of Banach algebras having this property as well as those not having this property are discussed.
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De Maria Jose L.; Rodriguez-Salinas Baltasar 《Bulletin London Mathematical Society》1993,25(6):577-581
In this paper, Schachermayer's Theorem [6] is improved by showingthat a WCG Banach space whose density is of measure zero isa Radon space with the weak topology (weak-Radon). We also considerother conditions under which a Banach space is a weak-Radonspace. 相似文献
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V. I. Berdyshev 《Mathematical Notes》1975,17(1):3-8
This paper contains a characterization of spaces in which the metric projection is uniformly continuous on the class of convex existence sets. 相似文献
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王建华 《数学物理学报(A辑)》2006,26(6):840-846
该文给出非自反Banach空间中一类超平面上度量投影的表达式.在近严格凸Banach空间中,研究了它们的连续性.对于对偶Banach空间X*,给出弱*闭子集上度量投影的一些连续性结果. 相似文献
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The Geometry of Convex Transitive Banach Spaces 总被引:1,自引:0,他引:1
Becerra Guerrero Julio; Rodriguez Palacios Angel 《Bulletin London Mathematical Society》1999,31(3):323-331
Throughout this paper, X will denote a Banach space, S=S(X)and B=B(X) will be the unit sphere and the closed unit ballof X, respectively, and G=G(X) will stand for the group of allsurjective linear isometries on X. Unless explicitly statedotherwise, all Banach spaces will be assumed to be real. Nevertheless,by passing to real structures, the results remain true for complexspaces. 1991 Mathematics Subject Classification 46B04, 46B10,46B22. 相似文献
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Banach空间的保持端点 总被引:3,自引:0,他引:3
在本文中,我们定义了(R1),(R2),(R3)和wMLUR,它们是一些与严格凸较接近且所有端点都是保持端点的凸性。我们还讨论了它们的性质以及它们之间的相互关系。 相似文献
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In this paper we present four methods to generate three-space BANACH space ideals. They are based on the concept of total incomparability of H. P. ROSENTHAL and on a dual concept, total coincomparability, which is here introduced. We use the assertion that the sum of two totally incomparable closed subspaces of a BANACH space is norm-closed, which is shown by means of an easier and more natural proof than that of ROSENTHAL [10], and an analogous property about the total coincomparability. Several well-known ideals are obtained with the above methods, and so they are three-space ideals. 相似文献
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Vladimir V. Kisil 《Acta Appl Math》1999,59(1):79-109
We describe a construction of wavelets (coherent states) in Banach spaces generated by admissible group representations. Our main targets are applications in pure mathematics while connections with quantum mechanics are mentioned. As an example, we consider operator-valued Segal–Bargmann-type spaces and the Weyl functional calculus. 相似文献
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Lipschitz Homogeneous Banach Spaces 总被引:1,自引:0,他引:1
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Real Banach Spaces with Numerical Index 1 总被引:5,自引:0,他引:5
We show that an infinite-dimensional real Banach space withnumerical index 1 satisfying the RadonNikodym propertycontains l1. It follows that a reflexive or quasi-reflexivereal Banach space cannot be re-normed to have numerical index1, unless it is finite-dimensional. 1991 Mathematics SubjectClassification 46B20. 相似文献
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Very Convex Banach Spaces 总被引:7,自引:0,他引:7
VeryConvexBanachSpacesTegusi(特古斯)Suyalatu(苏雅拉图)(DepartmentofMathematics,InnerMongoliaNormalUniversity,Huhhot,010022)LiYongjin... 相似文献
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We introduce the notion of K-very smoothness which is a generalization of very smoothness in Banach spaces. A necessary and sufficient condition for a Banach space to be K-very smooth is obtained. We also consider some relations between K-very smoothness and other geometrical notions. 相似文献