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The Geometry of L(2l_{infty}^2)

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초록

We classify the extreme, exposed and smooth bilinear forms of the unit ballof the space of bilinear forms on $l_{\infty}^2$.

Abstract

We classify the extreme, exposed and smooth bilinear forms of the unit ballof the space of bilinear forms on $l_{\infty}^2$.

참고문헌 (25)

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  5. Y. S. Choi, "Extreme polynomials on <TEX>$c_0$<", TEX>, 1998, pp.29, 983~989
  6. Y. S. Choi, "Smooth points of the unit ball of the space <TEX>$P(^2l_1)$<", TEX>, 1999, pp.36, 26~33
  7. Y. S. Choi, "Exposed points of the unit balls of the spaces <TEX>$P(^2l_p^2)\;(p=1,\;2,\;{\infty})$<", TEX>, 2004, pp.35, 37~41
  8. S. Dineen, "Complex Analysis on Infinite Dimensional Spaces" (1999), Springer-Verlag
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  11. B. C. Grecu, "Unconditional constants and polynomial inequalities", J. Approx. Theory, 161, pp.706~722 (2009)
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  15. 김성권, "The Unit Ball of Ls(2d*(1,w)2)", Kyungpook Mathematical Journal, 53(2), pp.295~306 (2013), 경북대학교 자연과학대학 수학과[DOI]
  16. S. G. Kim, "Smooth polynomials of <TEX>$P(^2d_*(1,\;w)^2)$<", TEX>, 2013, pp.113A, 45~58
  17. 김성권, "Extreme Bilinear Forms of L(2d*(1,w)2)", Kyungpook Mathematical Journal, 53(4), pp.625~638 (2013), 경북대학교 자연과학대학 수학과[DOI]
  18. 김성권, "Exposed Symmetric Bilinear Forms of Ls(2d*(1,w)2)", Kyungpook Mathematical Journal, 54(3), pp.341~347 (2014), 경북대학교 자연과학대학 수학과[DOI]
  19. 김성권, "Exposed Bilinear Forms of L(2d*(1,w)2)", Kyungpook Mathematical Journal, 55(1), pp.119~126 (2015), 경북대학교 자연과학대학 수학과[DOI]
  20. S. G. Kim, "Exposed 2-homogeneous polynomials on the 2-dimensional real predual of Lorentz sequence space", Mediterr. J. Math, 7, pp.1~13 (2015)
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  24. G. A. Munoz-Fernandez, "Geometry of Banach spaces of trinomials", J. Math. Anal. Appl, 340, pp.1069~1087 (2008)
  25. R. A. Ryan, "Geometry of spaces of polynomials", J. Math. Anal. Appl, 221, pp.698~711 (1998)

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