NORM-PEAK MULTILINEAR FORMS ON ℓ1

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Abstract

Let n ∈ N, n ≥ 2. A continuous n-linear form T on a Banach space E is called norm-peak if there is unique (x1, …, xn) ∈ En such that ‖x1‖ = · · · = ‖xn‖ = 1 and T attains its norm only at (±x1, …, ±xn). In this paper, we characterize the norm-peak multilinear forms on ℓ1.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalGulf Journal of Mathematics
Volume16
Issue number1
DOIs
StatePublished - 2024

Keywords

  • norm-peak multilinear forms
  • Norming points

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