Orthogonality in Generalized Minkowski Spaces
From MaRDI portal
Publication:4628613
zbMath1421.46016arXiv1605.02966MaRDI QIDQ4628613
Publication date: 14 March 2019
Full work available at URL: https://arxiv.org/abs/1605.02966
isosceles orthogonalitybisectorbest approximationgaugeBirkhoff orthogonalitygeneralized Minkowski space
Convex programming (90C25) Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Related Items (9)
Duality of gauges and symplectic forms in vector spaces ⋮ Minkowski Geometry—Some Concepts and Recent Developments ⋮ Orthogonality Types in Normed Linear Spaces ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Asymmetry measures for convex distance functions ⋮ Orthogonality in locally convex spaces: two nonlinear generalizations of Neumann's lemma ⋮ Coproximinality of linear subspaces in generalized Minkowski spaces ⋮ A perimeter-based angle measure in generalized Minkowski planes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Orthogonality of bounded linear operators
- Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
- Homogeneity of isosceles orthogonality and related inequalities
- The Schwarz genus of the Stiefel manifold
- Minsum location extended to gauges and to convex sets
- Voronoi polytopes for polyhedral norms on lattices
- Semi-inner products and the concept of semi-polarity
- Affine diameters of convex bodies -- a survey
- Birkhoff-James orthogonality and smoothness of bounded linear operators
- On suns and cosuns in finite dimensional normed real vector spaces
- Best coapproximation in normed linear spaces
- The rectangular constant for two-dimensional spaces
- Characterizations of inner product spaces
- On concepts of directional differentiability
- On orthocentric systems in Minkowski planes
- Characterization of Birkhoff-James orthogonality
- Orthogonalities, transitivity of norms and characterizations of Hilbert spaces
- Operator norm attainment and Birkhoff-James orthogonality
- Approximate Roberts orthogonality
- Approximate orthogonality in normed spaces and its applications
- On the uniqueness of isosceles orthogonality in normed linear spaces
- Operator norm attainment and inner product spaces
- Antinorms and Radon curves
- Sets of constant width in finite dimensional Banach spaces
- Caractérisations d'espaces hilbertiens au moyen de la constante rectangle
- James orthogonality and orthogonal decompositions of Banach spaces
- Torricellian points in normed linear spaces
- On strong orthogonality and strictly convex normed linear spaces
- Functional Analysis in Asymmetric Normed Spaces
- Convex Optimization in Normed Spaces
- On Zindler Curves in Normed Planes
- Some geometric characterizations of inear product spaces
- On rectangular constant in normed linear spaces
- A complete characterization of Birkhoff-James orthogonality in infinite dimensional normed space
- On approximate Birkhoff-James orthogonality and normal cones in a normed space
- Set-Valued Lebesgue and Riesz Type Theorems
- On the \varepsilon-best coapproximation
- Multi-Valued Monotone Nonlinear Mappings and Duality Mappings in Banach Spaces
- The Isoperimetric Problem in the Minkowski Plane
- Orthogonality and Linear Functionals in Normed Linear Spaces
- Inner products in normed linear spaces
- Convex analysis and monotone operator theory in Hilbert spaces
- Orthogonality of matrices
- Orthogonality in normed linear spaces
- The geometry of Minkowski spaces -- a survey. I
This page was built for publication: Orthogonality in Generalized Minkowski Spaces
