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A note on k-uniformly convex spaces
Mathematical Proceedings of the Cambridge Philosophical Society, 1985AbstractIn this short note we prove that Istrǎƫescu's notion of k-uniform (k-locally uniform) convexity of a Banach space is actually equivalent to the notion of uniform (locally uniform) convexity. Thus theorem 2 in [3] and theorem 2·6·28 in [2] are trivially true.
Bae, Jong Sook, Choi, Sung Kyu
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On nearly uniformly convex Banach spaces
Mathematical Proceedings of the Cambridge Philosophical Society, 1983A real Banach space (X, ‖ · ‖) is said to be uniformly convex (UC) (or uniformly rotund) if for all ∈ > 0 there is a δ > 0 such that if ‖x| ≤ 1, ‖y‖ ≤ 1 and ‖x−y‖ ≥ ∈, then ‖(x + y)/2‖ ≤ 1− δ.
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Uniformly Convex Cone Spaces and Properties of Convex Sets in These Spaces
Mathematical NotesThe author continues his investigation of uniform and local uniform convexity in asymmetric normed spaces, initiated in [\textit{I. G. Tsar'kov}, Math. Notes 110, No. 5, 773--783 (2021; Zbl 1489.46022); translation from Mat. Zametki 110, No. 5, 773--785 (2021)], and continued in other papers (see the reference).
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +2 more
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Minimization of Functionals: Uniformly Convex Spaces
2019We want to prove an analogy of Theorem 4.27 for these (Sobolev) gradients in so-called uniformly convex spaces.
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Multifunctional biomolecule nanostructures for cancer therapy
Nature Reviews Materials, 2021Jing Wang, Yiye Li, Guangjun Nie
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Cosmology with the Laser Interferometer Space Antenna
Living Reviews in Relativity, 2023Germano Nardini
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Ab Initio Machine Learning in Chemical Compound Space
Chemical Reviews, 2021Bing Huang, O Anatole Von Lilienfeld
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Concerning Weakly Uniformly Convex Spaces
Journal of the London Mathematical Society, 1969openaire +2 more sources