Results 1 to 10 of about 75,695 (101)

Polyhedral norms on non-separable Banach spaces

Journal of Functional Analysis, 2008
A Banach space \(X\) is called polyhedral if the unit ball of each of its finite-dimensional subspaces is a polytope. Separable polyhedral spaces were investigated in detail; see, e.g., [\textit{V. P. Fonf, J.\,Lindenstrauss} and \textit{R. P. Phelps}, in: Handbook of the Geometry of Banach spaces, Vol.\ I, Elsevier, 599--670 (2001; Zbl 1086.46004 ...
Fonf, V.P., Pallares, A.J., Smith, R.J., Troyanski, S.   +3 more
openaire   +3 more sources

Layer potential theory for the anisotropic Stokes system with variable L∞ symmetrically elliptic tensor coefficient

Mathematical Methods in the Applied Sciences, Volume 44, Issue 12, Page 9641-9674, August 2021., 2021
The aim of this paper is to develop a layer potential theory in L2‐based weighted Sobolev spaces on Lipschitz bounded and exterior domains of ℝn, n ≥ 3, for the anisotropic Stokes system with L∞ viscosity tensor coefficient satisfying an ellipticity condition for symmetric matrices with zero matrix trace.
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland   +2 more
wiley   +1 more source

Generic orbits and type isolation in the Gurarij space [PDF]

, 2016
We study the question of when the space of embeddings of a separable Banach space $E$ into the separable Gurarij space $\mathbf G$ admits a generic orbit under the action of the linear isometry group of $\mathbf G$.
Henson, C. Ward, Yaacov, Itaï Ben
core   +1 more source

Intersection Properties of Balls in Banach Spaces

Journal of Function Spaces and Applications, 2013
We introduce a weaker notion of central subspace called almost central subspace, and we study Banach spaces that belong to the class (GC), introduced by Veselý (1997). In particular, we prove that if is an almost central subspace of a Banach space such
C. R. Jayanarayanan
doaj   +1 more source

Almost minimal orthogonal projections

, 2020
The projection constant $\Pi(E):=\Pi(E, \ell_\infty)$ of a finite-dimensional Banach space $E\subset\ell_\infty$ is by definition the smallest norm of a linear projection of $\ell_\infty$ onto $E$. Fix $n\geq 1$ and denote by $\Pi_n$ the maximal value of
Basso, Giuliano
core   +1 more source

Tropical Lagrangian hypersurfaces are unobstructed

Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020
Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley   +1 more source

Structure of Pareto Solutions of Generalized Polyhedral-Valued Vector Optimization Problems in Banach Spaces [PDF]

Abstract and Applied Analysis, 2013
In general Banach spaces, we consider a vector optimization problem (SVOP) in which the objective is a set-valued mapping whose graph is the union of finitely many polyhedra or the union of finitely many generalized polyhedra. Dropping the compactness assumption, we establish some results on structure of the weak Pareto solution set, Pareto solution ...
He, Qinghai, Kong, Weili
openaire   +4 more sources

Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application

Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
This paper considers the nonlinear symmetric conic programming (NSCP) problems. Firstly, a type of strong sufficient optimality condition for NSCP problems in terms of a linear‐quadratic term is introduced. Then, a sufficient condition of the nonsingularity of Clarke’s generalized Jacobian of the Karush–Kuhn–Tucker (KKT) system is demonstrated. At last,
Yun Wang, Dezhou Kong, Xinguang Zhang
wiley   +1 more source

A study of symmetric points in Banach spaces [PDF]

Linear and multilinear algebra, 2019
We completely characterize the left-symmetric points, the right-symmetric points, and the symmetric points in the sense of Birkhoff-James, in a Banach space.
D. Sain, Saikat Roy, S. Bagchi, Vitor Balestro   +3 more
semanticscholar   +1 more source

Non-expansive bijections, uniformities and polyhedral faces [PDF]

Journal of Mathematical Analysis and Applications, 2018
We extend the result of B. Cascales et al. about expand-contract plasticity of the unit ball of strictly convex Banach space to those spaces whose unit sphere is the union of all its finite-dimensional polyhedral extreme subsets.
C. Angosto, V. Kadets, O. Zavarzina
semanticscholar   +1 more source