Results 21 to 30 of about 4,038,548 (77)

Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]

open access: yes, 2002
For a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 < p < \infty$ and $\
Laustsen, Niels J.
core   +4 more sources

Boundaries and polyhedral Banach spaces [PDF]

open access: yes, 2014
We show that if $X$ and $Y$ are Banach spaces, where $Y$ is separable and polyhedral, and if $T:X \to Y$ is a bounded linear operator such that $T^*(Y^*)$ contains a boundary $B$ of $X$, then $X$ is separable and isomorphic to a polyhedral space.
Smith, Richard J   +2 more
core   +1 more source

Some remarks on James-Schreier spaces. [PDF]

open access: yes, 2010
The James-Schreier spaces V_p, where p is a real number greater than or equal to 1, were recently introduced by Bird and Laustsen as an amalgamation of James' quasi-reflexive Banach space on the one hand and Schreier's Banach space giving a ...
Laustsen, Niels Jakob   +2 more
core   +4 more sources

On the numerical index of polyhedral Banach spaces [PDF]

open access: yes, 2018
The computation of the numerical index of a Banach space is an intriguing problem, even in case of two-dimensional real polyhedral Banach spaces. In this article we present a general method to estimate the numerical index of any finite-dimensional real ...
Debmalya Sain   +7 more
core   +1 more source

Elementary evolutions in Banach algebra [PDF]

open access: yes, 2013
An elementary class of evolutions in unital Banach algebras is obtained by integrating product functions over Guichardet's symmetric measure space on the half-line.
Lindsay, J. Martin, Das, Bata Krishna
core   +3 more sources

Tropical Lagrangian hypersurfaces are unobstructed

open access: yesJournal 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

Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application

open access: yesMathematical 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

Smooth and polyhedral approximation in Banach spaces [PDF]

open access: yes, 2015
We show that norms on certain Banach spaces $X$ can be approximated uniformly, and with arbitrary precision, on bounded subsets of $X$ by $C^{\infty}$ smooth norms and polyhedral norms.
Smith, Richard J., Bible, Victor
core   +1 more source

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

Smoothed Moreau‐Yosida Tensor‐Train Approximation of State‐Constrained Optimization Problems Under Uncertainty

open access: yesNumerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.
ABSTRACT We propose an algorithm to solve optimization problems constrained by ordinary or partial differential equations under uncertainty, with additional almost sure inequality constraints on the state variable. To alleviate the computational burden of high‐dimensional random variables, we approximate all random fields by the tensor‐train (TT ...
Harbir Antil   +2 more
wiley   +1 more source

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