Browse > Article
http://dx.doi.org/10.4134/CKMS.c210195

ESTIMATES FOR THE NORM OF A MULTILINEAR FORM ON ℝn WITH THE 𝑙p-NORM  

Kim, Sung Guen (Department of Mathematics Kyungpook National University)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.3, 2022 , pp. 719-722 More about this Journal
Abstract
In this paper, we present some estimates for the norm of a multilinear form T ∈ 𝓛(m𝑙np) for 1 ≤ p ≤ ∞ and n, m ≥ 2.
Keywords
Norm of a multiilinear form;
Citations & Related Records
연도 인용수 순위
  • Reference
1 S. Dineen, Complex analysis on infinite-dimensional spaces, Springer Monographs in Mathematics, Springer-Verlag London, Ltd., London, 1999. https://doi.org/10.1007/978-1-4471-0869-6   DOI
2 E. Steinitz, Bedingt konvergente Reihen und konvexe Systeme, J. Reine Angew. Math. 146 (1916), 1-52. https://doi.org/10.1515/crll.1916.146.1   DOI
3 M. Krein and D. Milman, On extreme points of regular convex sets, Studia Math. 9 (1940), 133-138. https://doi.org/10.4064/sm-9-1-133-138   DOI