Exposed 2-homogeneous polynomials on Hilbert spaces

Sung Guen Kim, Sang Hun Lee

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

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 languageEnglish
Pages (from-to)449-453
Number of pages5
JournalProceedings of the American Mathematical Society
Volume131
Issue number2
DOIs
StatePublished - Feb 2003

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