There are no denting points in the unit ball of P(2H)

Sung Guen Kim

doi:10.1017/s0004972700040338

There are no denting points in the unit ball of P(²H)

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Abstract

For any infinite dimensional real Hilbert space H we show that the unit ball of the space of continuous 2-homogeneous polynomials on H, P(²H), has no denting points. Thus the unit ball of P(²H) has no strongly exposed points.

Original language	English
Pages (from-to)	497-498
Number of pages	2
Journal	Bulletin of the Australian Mathematical Society
Volume	66
Issue number	3
DOIs	https://doi.org/10.1017/s0004972700040338
State	Published - Dec 2002

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title = "There are no denting points in the unit ball of P(2H)",

abstract = "For any infinite dimensional real Hilbert space H we show that the unit ball of the space of continuous 2-homogeneous polynomials on H, P(2H), has no denting points. Thus the unit ball of P(2H) has no strongly exposed points.",

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AB - For any infinite dimensional real Hilbert space H we show that the unit ball of the space of continuous 2-homogeneous polynomials on H, P(2H), has no denting points. Thus the unit ball of P(2H) has no strongly exposed points.

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JO - Bulletin of the Australian Mathematical Society

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There are no denting points in the unit ball of P(²H)

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