Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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THE UNIT BALL OF THE SPACE OF BILINEAR FORMS ON ℝ3 WITH THE SUPREMUM NORM

  • Kim, Sung Guen (Department of Mathematics Kyungpook National University)
  • Received : 2018.03.20
  • Accepted : 2018.09.07
  • Published : 2019.04.30
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Abstract

We classify all the extreme and exposed bilinear forms of the unit ball of ${\mathcal{L}}(^2l^3_{\infty})$ which leads to a complete formula of ${\parallel}f{\parallel}$ for every $f{\in}{\mathcal{L}}(^2l^3_{\infty})^*$. It follows from this formula that every extreme bilinear form of the unit ball of ${\mathcal{L}}(^2l^3_{\infty})$ is exposed.

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References

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