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 language | English |
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Pages (from-to) | 1-8 |
Number of pages | 8 |
Journal | Gulf Journal of Mathematics |
Volume | 16 |
Issue number | 1 |
DOIs | |
State | Published - 2024 |
Keywords
- norm-peak multilinear forms
- Norming points