The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
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A Survey on Renorming and Set Convergence
, 1995 . This article presents a survey of some recent results relating set convergence and renorming. We focus most of our attention on norms having various Kadec--Klee properties and their interplay with certain forms of set convergence including Wijsman and ...
Jon D. Vanderwerff +3 more
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Densely Two-Valued Metric Projections in Uniformly Convex Banach Spaces
, 1994 For every uniformly convex Banach space X with dim X ≥ 2 there is a residual set U in the Hausdorff metric space B(X) of hounded and closed sets in X such that a metric projection generated by a set from U is two-valued and upper semicontinuous on a ...
Zhivkov, N. V.
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On estimates of the generalized Jordan-von Neumann constant of Banach spaces
, 2006 . In this paper, we study the generalized Jordan-von Neumann constant and obtain its estimates for the normal structure coefficient N(X), improving the known results of S. Dhompongsa. Key words and phrases: Generalized Jordan-von Neumann constant; Normal
Changsen Yang, Fenghui Wang
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Approximate best proximity point sequences for C*λ mappings in strictly convex Banach spaces
, 2021 Let A and B be nonempty subsets of a Banach space X and T : A → B be a non-self mapping. An approximate sequence of best proximity points for the mapping T is a sequence {xn } in ...
Gabeleh, M. +2 more
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Haar null closed and convex sets in separable Banach spaces. [PDF]
Bull Lond Math Soc, 2023 Ravasini D.
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Remark on the Daugavet property for complex Banach spaces
Demonstratio MathematicaIn this article, we study the Daugavet property and the diametral diameter two properties (DD2Ps) in complex Banach spaces. The characterizations for both Daugavet and Δ\Delta -points are revisited in the context of complex Banach spaces. We also provide
Lee Han Ju, Tag Hyung-Joon
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On Moduli of Convexity in Banach Spaces
, 2004 We provide an example to show that the moduli of convexity δ E and β E are different. Our example allows us to prove that 2 is the best possible constant in the inequality δE ≤ βE ≤ 2δE and that βE does not need ...
Gurariy, Vladimir +3 more
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Angular measures and Birkhoff orthogonality in Minkowski planes. [PDF]
Aequ Math, 2020 Naszódi M, Prokaj V, Swanepoel K.
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Good projections of spaces of vector measures onto subspaces of Bochner integrable functions
, 2004 We show that the complementability of L1(μ, X) in cabv(μ, X) implies the complementability of L1(μ, K(Z, X)) in cabv(μ, K(Z, X)), provided the projection from cabv(μ, X) onto L1(μ, X) is “good”, Z* is separable and K(
Emmanuele, Giovanni
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