Duality of gauges and symplectic forms in vector spaces

DOI10.1007/s13348-020-00297-zzbMath1482.52010arXiv1901.03421OpenAlexW3038183241MaRDI QIDQ820780

Horst Martini, Vitor Balestro, Ralph C. Teixeira

Publication date: 28 September 2021

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.03421

zbMATH Keywords

isometrysymplectic formMazur-Ulam theoremasymmetric normclosed characteristicpolar bodyconvex distance functiongeneralized Banach spacegauge spacedual gauge

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Symplectic manifolds (general theory) (53D05) Geometry and structure of normed linear spaces (46B20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Symplectic geometry, contact geometry (53D99) Isometric theory of Banach spaces (46B04) Convexity of real functions of several variables, generalizations (26B25) 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) Symplectic and canonical mappings (37J11)

Related Items (3)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Isoperimetric Inequalities in Normed Planes ⋮ A new geometric view on Sturm-Liouville eigenvalue problems

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