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A Note on Uniformly Convex Spaces [PDF]
Journal of the London Mathematical Society, 1959 openaire +1 more source
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The differentiability of nonlinear semigroups in uniformly convex spaces
Israel Journal of Mathematics, 1981LetT(t) be a semigroup on a subset of Banach spaceX. T(t) is generated by a product integral of the resolventJλ of an accretive operatorA. IfX is a Hilbert space, it is known that forx in the domain ofA, ‖Jtx−T(t)x‖=o(t) ast decreases to zero. We show this is true whenX is uniformly convex, and deduce some consequences.
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Responsive materials architected in space and time
Nature Reviews Materials, 2022Xiaoxing Xia +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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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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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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Polymer photocatalysts for solar-to-chemical energy conversion
Nature Reviews Materials, 2020Tanmay Banerjee +2 more
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