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Estimates for the norm of a multilinear form on $\mathbb{R}^n$ with the $l_p$-norm

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In this paper, we present some estimates for the norm of a multilinear form $T\in {\mathcal L}(^ml_{p}^n)$ for $1\leq p\leq\infty$ and $n, m\geq 2.$

Abstract

In this paper, we present some estimates for the norm of a multilinear form $T\in {\mathcal L}(^ml_{p}^n)$ for $1\leq p\leq\infty$ and $n, m\geq 2.$

참고문헌 (3)

  1. S. Dineen, "Complex analysis on innite-dimensional spaces" (1999), Springer-Verlag London, Ltd
  2. M. Krein, "On extreme points of regular convex sets", Studia Mathematica, 9(1), pp.133~138 (1940), Institute of Mathematics, Polish Academy of Sciences[DOI]
  3. E. Steinitz, "Bedingt konvergente Reihen und konvexe Systeme. (Schluß.)", crll, 1916(146), pp.1~52 (1916), Walter de Gruyter GmbH[DOI]

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