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Approximation of norms on Banach spaces

open access: yes, 2018
Relatively recently it was proved that if $\Gamma$ is an arbitrary set, then any equivalent norm on $c_0(\Gamma)$ can be approximated uniformly on bounded sets by polyhedral norms and $C^\infty$ smooth norms, with arbitrary precision.
Smith, Richard J., Troyanski, Stanimir
core  

Covering Convex Bodies and the Closest Vector Problem. [PDF]

open access: yesDiscrete Comput Geom, 2022
Naszódi M, Venzin M.
europepmc   +1 more source

The wigner property for CL-spaces and finite-dimensional polyhedral banach spaces – RETRACTION [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 2021
Dongni Tan, Xujian Huang
openaire   +1 more source

Unit balls of polyhedral Banach spaces with many extreme points

open access: yesStudia Mathematica
Let $E$ be a $(\mathrm{IV})$-polyhedral Banach space. We show that, for each $ε>0$, $E$ admits an $ε$-equivalent $\mathrm{(V)}$-polyhedral norm such that the corresponding closed unit ball is the closed convex hull of its extreme points. In particular, we obtain that every separable isomorphically polyhedral Banach space, for each $ε>0$, admits ...
openaire   +4 more sources

Density of convex intersections and applications. [PDF]

open access: yesProc Math Phys Eng Sci, 2017
Hintermüller M   +2 more
europepmc   +1 more source

Multiscale techniques for parabolic equations. [PDF]

open access: yesNumer Math (Heidelb), 2018
Målqvist A, Persson A.
europepmc   +1 more source

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