The horofunction boundary\nobreakspace {}of finite-dimensional $\ell _p$ spaces

DOI10.4064/cm7320-3-2018zbMath1415.51015arXiv1709.03462OpenAlexW2755611223MaRDI QIDQ4614236

Armando W. Gutiérrez

Publication date: 30 January 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03462

zbMATH Keywords

metric spacesvariation normHilbert's projective metrichorofunction boundarypnorms

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Metric geometry (51F99) Distance geometry (51K99) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Minkowski geometries in nonlinear incidence geometry (51B20) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (9)

Characterizing the metric compactification of \(L_p\) spaces by random measures ⋮ Firm non-expansive mappings in weak metric spaces ⋮ Polyhedral compactifications. I ⋮ Horofunction compactifications and duality ⋮ Hahn-Banach for metric functionals and horofunctions ⋮ Stars at infinity in Teichmüller space ⋮ The horofunction boundary of the infinite dimensional hyperbolic space ⋮ On the Metric Compactification of Infinite-dimensional Spaces ⋮ A metric version of Poincaré's theorem concerning biholomorphic inequivalence of domains

Cites Work

• Group \(C^*\)-algebras as compact quantum metric spaces

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