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THE GEOMETRY OF Ls(3l2∞)

김성권
대한수학회 (The Korean Mathematical Society)|2017.10|대한수학회논문집 (Communications of the KMS)|제32권 제4호|pp. 991-997

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참고문헌

키워드

extreme pointsexposed pointssmooth points
주제분류수학

초록

We classify the extreme, exposed and smooth symmetric 3-linear forms of the unit ball of ${\mathcal L}_s(^3l_{\infty}^2)$, respectively.

Abstract

We classify the extreme, exposed and smooth symmetric 3-linear forms of the unit ball of ${\mathcal L}_s(^3l_{\infty}^2)$, respectively.

참고문헌 (28)

  1. R. M. Aron, "Local properties of polynomials on a Banach space", Illinois J. Math, 45(1), pp.25~39 (2001)
  2. W. Cavalcante, "Geometry of the closed unit ball of the space of bilinear forms on l2∞", arXiv:1603.01535v2, ~
  3. Y. S. Choi, "Extreme polynomials and multilinear forms on l1", J. Math. Anal. Appl, 228(2), pp.467~482 (1998)
  4. Y. S. Choi, "The unit ball of P(2l22)", Arch. Math. (Basel), 71(6), pp.472~480 (1998)
  5. Y. S. Choi, "Extreme polynomials on c0", Indian J. Pure Appl. Math, 29(10), pp.983~989 (1998)
  6. Y. S. Choi, "Smooth points of the unit ball of the space P(2l1)", Results Math, 36(1-2), pp.26~33 (1999)
  7. Y. S. Choi, "Exposed points of the unit balls of the spaces P(2l2p ) (p = 1; 2;1)", Indian J. Pure Appl. Math, 35(1), pp.37~41 (2004)
  8. S. Dineen, "Complex Analysis on Infinite Dimensional Spaces" (1999), Springer-Verlag
  9. S. Dineen, "Extreme integral polynomials on a complex Banach space", Math. Scand, 92(1), pp.129~140 (2003)
  10. D. Diniz, "Lower bounds for the constants in the Bohnenblust-Hill inequality: the case of real scalars", Proc. Amer. Math. Soc, 142(2), pp.575~580 (2014)
  11. B. C. Grecu, "Geometry of 2-homogeneous polynomials on lp spaces, 1 < p < 1", J. Math. Anal. Appl, 273(2), pp.262~282 (2002)
  12. B. C. Grecu, "Unconditional con-stants and polynomial inequalities", J. Approx. Theory, 161(2), pp.706~722 (2009)
  13. S. G. Kim, "Exposed 2-homogeneous polynomials on P(2l2p ) (1 ≤ p ≤ 1)", Math. Proc. R. Ir. Acad, 107A(2), pp.123~129 (2007)
  14. S. G. Kim, "The unit ball of Ls(2l21)", Extracta Math, (1), pp.17~29 (2009)
  15. S. G. Kim, "The unit ball of P(2d*(1,w)2)", Math. Proc. Royal Irish Acad, 111A(2), pp.79~94 (2011)
  16. 김성권, "The Unit Ball of Ls(2d*(1,w)2)", Kyungpook Mathematical Journal, 53(2), pp.295~306 (2013), 경북대학교 자연과학대학 수학과[DOI]
  17. S. G. Kim, "Smooth polynomials of P(2d*(1,w)2)", Math. Proc. Royal Irish Acad, 113A(1), pp.45~58 (2013)
  18. 김성권, "Extreme Bilinear Forms of L(2d*(1,w)2)", Kyungpook Mathematical Journal, 53(4), pp.625~638 (2013), 경북대학교 자연과학대학 수학과[DOI]
  19. 김성권, "Exposed Symmetric Bilinear Forms of Ls(2d*(1,w)2)", Kyungpook Mathematical Journal, 54(3), pp.341~347 (2014), 경북대학교 자연과학대학 수학과[DOI]
  20. 김성권, "Exposed Bilinear Forms of L(2d*(1,w)2)", Kyungpook Mathematical Journal, 55(1), pp.119~126 (2015), 경북대학교 자연과학대학 수학과[DOI]
  21. S. G. Kim, "Exposed 2-homogeneous polynomials on the 2-dimensional real predual of Lorentz sequence space", Mediterr. J. Math, 13(5), pp.2827~2839 (2016)
  22. S. G. Kim, "The geometry of L(2l2∞)", Kyungpook Math. J
  23. S. G. Kim, "The unit ball of Ls(2l3∞)", Comment. Math. Prace Mat, 57 (2017)
  24. S. G. Kim, "Exposed 2-homogeneous polynomials on Hilbert spaces", Proc. Amer. Math. Soc, 131(2), pp.449~453 (2003)
  25. J. Lee, "Properties of symmetric matrices", J. Math. Anal. Appl, 305, pp.219~226 (2005)
  26. G. A. Mu~noz-Fernandez, "Geometry of homoge-neous polynomials on non symmetric convex bodies", Math. Scand, 105(1), pp.147~160 (2009)
  27. G. A. Mu~noz-Fernandez, "Geometry of Banach spaces of trinomials", J. Math. Anal. Appl, 340(2), pp.1069~1087 (2008)
  28. R. A. Ryan, "Geometry of spaces of polynomials", J. Math. Anal. Appl, 221(2), pp.698~711 (1998)

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The Geometry of L(2l_{infty}^2)김성근경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제1호The unit ball of the space of bilinear forms on $\mathbb{R}^3$ with the supremum normSung Guen Kim대한수학회 · 대한수학회논문집2019 · 제34권 제2호Smooth points of ${\mathcal L}_s(^nl_{\infty}^2)$김성권대한수학회 · 대한수학회보2020 · 제57권 제2호Extreme Points, Exposed Points and Smooth Points of the Space Ls(2l3∞)김성권경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호The unit ball of L(2R2h(w))김성근대한수학회 · 대한수학회보2017 · 제54권 제2호Geometry of bilinear forms on a normed space $\mathbb{R}^n$김성권대한수학회 · 대한수학회지2023 · 제60권 제1호

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