Abstract
We show that every extreme point of the unit ball of 2-homogeneous polynomials on a separable real Hubert space is its exposed point and that the unit ball of 2-homogeneous polynomials on a non-separable real Hubert space contains no exposed points. We also show that the unit ball of 2-homogeneous polynomials on any infinite dimensional real Hubert space contains no strongly exposed points.
Original language | English |
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Pages (from-to) | 449-453 |
Number of pages | 5 |
Journal | Proceedings of the American Mathematical Society |
Volume | 131 |
Issue number | 2 |
DOIs | |
State | Published - Feb 2003 |