quadratic function associated with a linear functional
Let V be a real hilbert space (and thus an inner product space
), and
let f be a continuous
linear functional
on V. Then f has an associated quadratic function φ:V→ℝ
given by
φ(v)=12∥v∥2-f(v) |
Title | quadratic function associated with a linear functional |
---|---|
Canonical name | QuadraticFunctionAssociatedWithALinearFunctional |
Date of creation | 2013-03-22 14:00:23 |
Last modified on | 2013-03-22 14:00:23 |
Owner | drini (3) |
Last modified by | drini (3) |
Numerical id | 7 |
Author | drini (3) |
Entry type | Definition |
Classification | msc 11Exx |
Classification | msc 46Exx |
Related topic | HilbertSpace |
Related topic | InnerProductSpace |