Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Extreme Bilinear Forms of $\mathcal{L}(^2d_*(1,w)^2)$

  • Kim, Sung Guen (Department of Mathematics, Kyungpook National University)
  • Received : 2012.11.12
  • Accepted : 2013.06.20
  • Published : 2013.12.23
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Abstract

First we present the explicit formula for the norm of a bilinear form on the 2-dimensional real predual of the Lorentz sequence space $d_*(1,w)^2$. Using this formula, we classify the extreme points of the unit ball of $\mathcal{L}(^2d_*(1,w)^2)$.

Keywords

Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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