A Hahn-Banach Theorem for Quadratic Forms

We give an estimate of the best constant C with the following property: any quadratic form Q on any hyperplane of a normed space E has an extension Q∼ on E with ∥Q∼∥ ≤ C · ∥Q∥.

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Bibliographic Details
Published in:Mathematical proceedings of the Royal Irish Academy 2000-12, Vol.100A (2), p.177-182
Main Author: Mazet, Pierre
Format: Article
Language:English
Subjects:
Analytic functions
Hyperplanes
Mathematical constants
Mathematical theorems
Polynomials
Tensors
Vector spaces
Online Access:Get full text
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Description
Summary:We give an estimate of the best constant C with the following property: any quadratic form Q on any hyperplane of a normed space E has an extension Q∼ on E with ∥Q∼∥ ≤ C · ∥Q∥.
ISSN:1393-7197