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Exposed Bilinear Forms of L(2d*(1,w)2)

김성권
경북대학교 자연과학대학 수학과|2015.03|Kyungpook Mathematical Journal|제55권 제1호|pp. 119-126|DOI http://dx.doi.org/10.5666/KMJ.2015.55.1.119

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참고문헌

키워드

Extreme and exposed bilinear forms
주제분류수학

초록

First we present the explicit formulafor the norm of a (continuous) linear functional of L(2d*(1, w)2). Using this formula and results of [16] and[17], we show that every extreme bilinear form of the unit ball of L(2d*(1, w)2) is exposed.

Abstract

First we present the explicit formulafor the norm of a (continuous) linear functional of L(2d*(1, w)2). Using this formula and results of [16] and[17], we show that every extreme bilinear form of the unit ball of L(2d*(1, w)2) is exposed.

참고문헌 (22)

  1. R. M. Aron., "Local properties of polynomials on a Banach space", Illinois J. Math, 45, pp.25~39 (2001)
  2. Y. S. Choi., "Extreme polynomials and multilinear forms on l1", J. Math. Anal. Appl, 228, pp.467~482 (1998)
  3. Y. S. Choi., "The unit ball of P(2l2 2)", Arch. Math. (Basel), 71, pp.472~480 (1998)
  4. Y. S. Choi., "Extreme polynomials on c0", Indian J. Pure Appl. Math, 29, pp.983~989 (1998)
  5. Y. S. Choi., "Smooth points of the unit ball of the space P(2l1)", Results Math, 36, pp.26~33 (1999)
  6. Y. S. Choi., "Exposed points of the unit balls of the spaces P(2l2 p)(p = 1; 2;1)", Indian J. Pure Appl. Math, 35, pp.37~41 (2004)
  7. S. Dineen, "Complex Analysis on In nite Dimensional Spaces" (1999), Springer-Verlag
  8. S. Dineen, "Extreme integral polynomials on a complex Banach space", Math. Scand, 92, pp.129~140 (2003)
  9. B. C. Grecu., "Geometry of 2-homogeneous polynomials on lp spaces, 1 < p < 1;", J. Math. Anal. Appl, 273, pp.262~282 (2002)
  10. B. C. Grecu., "Unconditional constants and polynomial inequalities", J. Approx. Theory, 161, pp.706~722 (2009)
  11. S. G. Kim, "Exposed 2-homogeneous polynomials on P(2l2 p)(1  p  1)", Math. Proc. Royal Irish Acad, 107, pp.123~129 (2007)
  12. S. G. Kim, "The unit ball of Ls(2l2 1)", Extracta Math, 24, pp.17~29 (2009)
  13. S. G. Kim, "The unit ball of P(2d(1;w)2)", Math. Proc. Royal Irish Acad, 111(2), pp.79~94 (2011)
  14. 김성권, "The Unit Ball of Ls(2d*(1,w)2)", Kyungpook Mathematical Journal, 53(2), pp.295~306 (2013), 경북대학교 자연과학대학 수학과[DOI]
  15. S. G. Kim, "Smooth polynomials of P(2d(1;w)2)", Math. Proc. Royal Irish Acad., 113A(1), pp.45~58 (2013)
  16. 김성권, "Extreme Bilinear Forms of L(2d*(1,w)2)", Kyungpook Mathematical Journal, 53(4), pp.625~638 (2013), 경북대학교 자연과학대학 수학과[DOI]
  17. 김성권, "Exposed Symmetric Bilinear Forms of Ls(2d*(1,w)2)", Kyungpook Mathematical Journal, 54(3), pp.341~347 (2014), 경북대학교 자연과학대학 수학과[DOI]
  18. S. G. Kim., "Exposed 2-homogeneous polynomials on Hilbert spaces", Proc. Amer. Math. Soc, 131, pp.449~453 (2003)
  19. J. Lee., "Properties of symmetric matrices", J. Math. Anal. Appl, 305, pp.219~226 (2005)
  20. G. A. Munoz-Fernandez., "Geometry of ho-mogeneous polynomials on non symmetric convex bodies", Math. Scand, 105, pp.147~160 (2009)
  21. G. A. Munoz-Fernandez., "Geometry of Banach spaces of trinomials", J. Math. Anal. Appl, 340, pp.1069~1087 (2008)
  22. R. A. Ryan., "Geometry of spaces of polynomials", J. Math. Anal. Appl, 221, pp.698~711 (1998)

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