On the complex Banach conjecture

zbMath1492.46005arXiv2006.00336MaRDI QIDQ5026429

Javier Bracho, Luis Montejano

Publication date: 8 February 2022

Full work available at URL: https://arxiv.org/abs/2006.00336

zbMATH Keywords

Banach conjecturecomplex affine isomorphismisometric Banach spaces

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (4)

Extremal inscribed and circumscribed complex ellipsoids ⋮ Convex bodies all whose sections (projections) are equal ⋮ Banach's isometric subspace problem in dimension four ⋮ Complex ellipsoids and complex symmetry

Cites Work

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• Characteristic properties of ellipsoids and convex quadrics
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• Convex Bodies with Homothetic Sections
• Bodies of Constant Width
• Sur une propriété caractéristique de l'ellipsoïde
• A GEOMETRICAL CONJECTURE OF BANACH
• G-Structures on Spheres
• Vector fields on spheres

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