Results 21 to 30 of about 75,695 (101)
Approximation of norms on Banach spaces [PDF]
Journal of Functional Analysis, 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 +2 more sources
Approximation by Polyhedral $G$ Chains in Banach Spaces
Zeitschrift für Analysis und ihre Anwendungen, 2014 In a Banach space with the metric approximation property, each compactly supported rectifiable G chain whose boundary is rectifiable as well, is approximatable in the flat norm by a polyhedral G
T. Pauw
semanticscholar +2 more sources
Light groups of isometries and polyhedrality of Banach spaces [PDF]
, 2019 Megrelishvili defines light groups of isomorphisms of a Banach space as the groups on which the weak and strong operator topologies coincide and proves that every bounded group of isomorphisms of Banach spaces with the point of continuity property (PCP ...
Leandro Antunes
semanticscholar +2 more sources
Extension of isometries between unit spheres of finite-dimensional polyhedral Banach spaces
Journal of Mathematical Analysis and Applications, 2012 We prove that an onto isometry between unit spheres of finite-dimensional polyhedral Banach spaces extends to a linear isometry of the corresponding spaces.
Kadets, Vladimir, Martín, Miguel
openaire +5 more sources
Smooth and Polyhedral Norms via Fundamental Biorthogonal Systems [PDF]
International mathematics research notices, 2022 Let $\mathcal {X}$ be a Banach space with a fundamental biorthogonal system, and let $\mathcal {Y}$ be the dense subspace spanned by the vectors of the system.
Sheldon Dantas, P. H'ajek, T. Russo
semanticscholar +1 more source
Mathematische Nachrichten, Volume 296, Issue 3, Page 1135-1155, March 2023., 2023 Abstract In this study, we consider the Oseen structure of the linearization of a compressible fluid–structure interaction (FSI) system for which the interaction interface is under the effect of material derivative term. The flow linearization is taken with respect to an arbitrary, variable ambient vector field.
Pelin G. Geredeli
wiley +1 more source
Nonlocal homogenisation theory for curl‐div‐systems
Mathematische Nachrichten, Volume 295, Issue 5, Page 950-969, May 2022., 2022 Abstract We study the curl‐div‐system with variable coefficients and a nonlocal homogenisation problem associated with it. Using, in part refining, techniques from nonlocal H‐convergence for closed Hilbert complexes, we define the appropriate topology for possibly nonlocal and non‐periodic coefficients in curl‐div systems to model highly oscillatory ...
Serge Nicaise, Marcus Waurick
wiley +1 more source
Div–curl problems and H1‐regular stream functions in 3D Lipschitz domains
Mathematical Methods in the Applied Sciences, Volume 45, Issue 3, Page 1097-1117, February 2022., 2022 We consider the problem of recovering the divergence‐free velocity field U ∈ L2(Ω) of a given vorticity F=curlU on a bounded Lipschitz domain Ω⊂ℝ3. To that end, we solve the ‘div–curl problem’ for a given F ∈ H−1(Ω). The solution is expressed in terms of a vector potential (or stream function) A ∈ H1(Ω) such that U=curlA. After discussing existence and
Matthias Kirchhart, Erick Schulz
wiley +1 more source
Mobile Information Systems, Volume 2022, Issue 1, 2022., 2022 Due to the influence of many factors such as machining and working environment, the robot kinematics model has errors, which leads to the inaccuracy of the actual position and pose. Therefore, in order to solve this problem, this paper proposes a method based on the genetic algorithm to directly modify the rotation variables of the manipulator joint to
Li Zhang, Hye-jin Kim
wiley +1 more source
Almost uniform domains and Poincaré inequalities
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 243-298, December 2021., 2021 Abstract Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure. Most importantly, despite the explicit constructions in our proofs, our methods do not depend on any rectilinear or self‐similar structure of the underlying space ...
Sylvester Eriksson‐Bique, Jasun Gong
wiley +1 more source