Upper bound for isometric embeddings ℓ₂^{𝑚}→ℓ_{𝑝}ⁿ

DOI10.1090/S0002-9939-08-09377-5zbMath1159.46007arXiv0712.0214MaRDI QIDQ3532521

Yuri I. Lyubich

Publication date: 28 October 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0214

zbMATH Keywords

isometric embeddingsquaternion spaces

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (2)

On isometric embedding ℓpm→S∞ and unique operator space structure ⋮ Isometric embeddability of \(S_q^m\) into \(S_p^n\)

Cites Work

• Isometric embeddings between classical Banach spaces, cubature formulas, and spherical designs
• Subspaces of \(L_p\) isometric to subspaces of \(\ell_p\)
• Sums of even powers of real linear forms
• Isometric embeddings of finite-dimensional $\ell_p$-spaces over the quaternions
• Unnamed Item

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