The <inline-formula><graphic file="1029-242X-1999-408192-i1.gif"/></inline-formula>-function in the space <inline-formula><graphic file="1029-242X-1999-408192-i2.gif"/></inline-formula>

Abstract

In this note, motivated by the question 1 in (Aron and Lohman, Pacific J. Math. 127 (1987), 209–231), we obtain an explicit formula for the -function in the real space . From this we see that the -function is continuous and attained at each point of the unit ball of , the space of real-valued continuous 2-homogeneous polynomials on .

Keywords

• Extreme point
• &#955;-function
• &#955;-property
• Polynomial