✦ LIBER ✦

Isometric Embeddings of MetricQ-vector Spaces intoQN

✍ Scribed by T. Kumada

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 110 KB
Volume: 19
Category: Article
ISSN: 0195-6698
DOI: 10.1006/eujc.1998.0220

No coin nor oath required. For personal study only.

✦ Synopsis

Let W be an n-dimensional Q-vector space which has a positive definite symmetric bilinear form. We prove that W is isometrically embeddable into Q n+3 . We give a formula to obtain the minimum N such that W is isometrically embeddable into Q N .

📜 SIMILAR VOLUMES

Embedding vector-valued Besov spaces int

Embedding vector-valued Besov spaces into spaces of γ -radonifying operators

✍ Nigel Kalton; Jan van Neerven; Mark Mark; Lutz Weis 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 213 KB

## Abstract It is shown that a Banach space __E__ has type __p__ if and only for some (all) __d__ ≥ 1 the Besov space __B__^(1/__p__ – 1/2)__d__^ ~__p__,__p__~ (ℝ^__d__^ ; __E__) embeds into the space __γ__ (__L__^2^(ℝ^__d__^ ), __E__) of __γ__ ‐radonifying operators __L__^2^(ℝ^__d__^ ) → __E__. A

On the index of a vector field tangent t

On the index of a vector field tangent to a hypersurface with non-isolated zero in the embedding space

✍ Oliver Klehn 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB 👁 1 views

## Abstract We give a generalization of an algebraic formula of Gomez‐Mont for the index of a vector field with isolated zero in (ℂ^__n__^, 0) and tangent to an isolated hypersurface singularity. We only assume that the vector field has an isolated zero on the singularity here.