Abstract
We classify extreme points and smooth points of the unit ball of the space ℘(2l22) of all 2-homogeneous polynomials on the 2-dimensional real Hilbert space l22 and show that the unit sphere of ℘(2l22) is the disjoint union of the set of extreme points of its unit ball and the set of smooth ones. We also obtain explicit formulas for the norm of f ∈ ℘(2l2p)*(p = 1, 2, ∞).
Original language | English |
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Pages (from-to) | 472-480 |
Number of pages | 9 |
Journal | Archiv der Mathematik |
Volume | 71 |
Issue number | 6 |
DOIs | |
State | Published - 2 Dec 1998 |