Results 71 to 80 of about 118 (114)
On non-surjective coarse isometries between Banach spaces
Assume that X; Y are real Banach spaces, Y has uniform convexity of type p (≥ 1), and f : X → Y is a standard coarse isometry. In this paper, we show that if∫ ∞ εf(S) 1/P __________ ds < ∞, 1 S1 + 1/pthen there is a ...
Luo, Sijie +3 more
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Epigraphical and Uniform Convergence of Convex Functions
. We examine when a sequence of lsc convex functions on a Banach space converges uniformly on bounded sets (resp. compact sets) provided it converges Attouch-Wets (resp. Painlev'e-Kuratowski). We also obtain related results for pointwise convergence
Jon D. Vanderwerff, Jonathan M. Borwein
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Convex Functions on "Sequentially Reflexive" Banach Spaces
. There is a sizeable class of results precisely relating boundedness, convergence and differentiability properties of continuous convex functions on Banach spaces to whether or not the space contains an isomorphic copy of ` 1 .
Jon Borwein, Jon Vanderwerff
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A note on "Implicit iterative process with errors". [PDF]
Yolacan E.
europepmc +1 more source
Characterizations of Banach Spaces via Convex and other Locally Lipschitz Functions
. Various properties of Banach spaces, including the reflexivity and the Schur property of a space, are characterized in terms of properties of corresponding classes of locally Lipschitz functions on those spaces. AMS Classification. 46A55, 46B20, 52A41.
Jon Borwein +2 more
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Minkowski valuations on convex functions. [PDF]
Colesanti A, Ludwig M, Mussnig F.
europepmc +1 more source
Dunford-Pettis like properties on tensor products
In this paper we study equivalent formulations of the DP*Pp (1 < p < ∞). We show that X has the DP*Pp if and only if every weakly-p-Cauchy sequence in X is a limited subset of X.
Ghenciu, Ioana
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Construction of a high-resolution 2.5-Mb transcript map of the human 6p21.2-6p21.3 region immediately centromeric of the major histocompatibility complex. [PDF]
Tripodis N +5 more
europepmc +1 more source
Array convergence of functions of the first Baire-class
We show that every array (x(i; j) : 1 i ! j ! 1) of elements in a pointwise compact subset of the Baire-1 functions on a Polish space, whose iterated pointwise limit lim i lim j x(i; j) exists, is converging Ramsey-uniformly. An array (x(i; j) i!j ) in
Helmut Knaust
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An introduction to 2-fuzzy n-normed linear spaces and a new perspective to the Mazur-Ulam problem
The purpose of this article is to introduce the concept of 2-fuzzy n-normed linear space or fuzzy n-normed linear space of the set of all fuzzy sets of a non-empty set.
Park, C, Alaca, C
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