[KSCI] Korea Science Citation Index Service

Kim, Sung Guen (Department of Mathematics Kyungpook National University)

Publication Information

Abstract

For n ≥ 2, we characterize the smooth points of the unit ball of 𝓛_s(ⁿ𝑙²_∞).

Keywords

Symmetric n-linear forms on the plane with the supremum norm; smooth points;

Citations & Related Records

1	S. Dineen, Complex analysis on innite-dimensional spaces, Springer Monographs in Mathematics, Springer-Verlag London, Ltd., London, 1999. https://doi.org/10.1007/978-1-4471-0869-6
2	B. C. Grecu, Smooth 2-homogeneous polynomials on Hilbert spaces, Arch. Math. (Basel) 76 (2001), no. 6, 445-454. https://doi.org/10.1007/PL00000456 DOI
3	R. B. Holmes, Geomeric Functional Anaysis and its Applications, Springer-Verlag, New York, 1975.
4	S. G. Kim, The unit ball of Ls( $^2l^2_{\infty}$ ), Extracta Math. 24 (2009), no. 1, 17-29.
5	S. G. Kim, Smooth polynomials of P( $^2D_*(1, W)^2$ ), Math. Proc. R. Ir. Acad. 113A (2013), no. 1, 45-58. https://doi.org/10.3318/PRIA.2013.113.05 DOI
6	S. G. Kim, The geometry of $L_s(^3l^2_{\infty})$ , Commun. Korean Math. Soc. 32 (2017), no. 4, 991-997. DOI
7	S. G. Kim, The Mazur density theorem for P( $P(^{2}{\mathbb{R}}^{2} _{h(\frac{1}{2})})$ , Preprint.
8	Y. S. Choi and S. G. Kim, The unit ball of P( $^2l^2_2$ ), Arch. Math. (Basel) 71 (1998), no. 6, 472-480. https://doi.org/10.1007/s000130050292 DOI
9	Y. S. Choi and S. G. Kim, Smooth points of the unit ball of the space P( $^2l_1$ ), Results Math. 36 (1999), no. 1-2, 26-33. https://doi.org/10.1007/BF03322099 DOI

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