Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

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

  • Kim, Sung Guen (Department of Mathematics Kyungpook National University)
  • Received : 2021.05.27
  • Accepted : 2021.10.29
  • Published : 2022.07.31
Download PDF
⟨ Previous Next ⟩

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

References

  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
  2. 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
  3. 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