References

  1. Choi Y.S., Kim S.G. The unit ball of \(\mathcal{P}(^2l_2^2)\). Arch. Math. (Basel) 1998, 71, 472–480. doi:10.1007/s000130050292
  2. Choi Y.S., Kim S.G. Smooth points of the unit ball of the space \(\mathcal{P}(^2l_1^2)\). Results Math. 1999, 36, 26–33. doi:10.1007/BF03322099
  3. Dineen S. Complex Analysis on Infinite Dimensional Spaces. Springer-Verlag, London, 1999.
  4. Grecu B.C. Smooth 2-homogeneous polynomials on Hilbert spaces. Arch. Math. (Basel) 2001, 76, 445–454. doi:10.1007/PL00000456
  5. Holmes R.B. Geometric Functional Analysis and its Applications. Graduate Texts in Mathematics, Springer-Verlag, New York-Heidelberg-Berlin, 1975.
  6. Kim S.G. The unit ball of \({\mathcal L}_s(^2l_{\infty}^2)\). Extracta Math. 2009, 24 (1), 17–29.
  7. Kim S.G. Smooth polynomials of \({\mathcal P}(^2D_*(1,W)^2)\). Math. Proc. R. Ir. Acad. 2013, 113A (1), 45–58. doi:10.3318/PRIA.2013.113.05
  8. Kim S.G. The geometry of \({\mathcal L}_s(^3l_{\infty}^2)\). Commun. Korean Math. Soc. 2017, 32 (4), 991–997. doi:10.4134/CKMS.c170016
  9. Kim S.G. Smooth points of \({\mathcal L}_s(^nl_{\infty}^2)\). Bull. Korean Math. Soc. 2020, 57 (2), 443–447. doi:10.4134/BKMS.b190311
  10. Kim S.G. Extreme and exposed symmetric bilinear forms on the space \({\mathcal L}_s(^2l_{\infty}^2)\). Carpathian Math. Publ. 2020, 12 (2), 340–352. doi:10.15330/cmp.12.2.340-352
  11. Kim S.G. Geometry of multilinear forms on \(l_1\). Acta Comment. Univ. Tartu. Math. 2021, 25 (1), 57–66. doi:10.12697/ACUTM.2021.25.04
  12. Kim S.G. Smooth points of \({\mathcal L}(^nl_{\infty}^m)\) and \({\mathcal L}_s(^nl_{\infty}^m)\). Comment. Math. 2020, 60 (1-2), 13–21.
  13. Kim S.G. Smooth 2-homogeneous polynomials on the plane with a hexagonal norm. To appear in Extracta Math. 2022, 37 (1).
  14. Krein M.G., Milman D.P. On extreme points of regular convex sets. Studia Math. 1940, 9, 133–138. doi:10.4064/SM-9-1-133-138