NORM-PEAK MULTILINEAR FORMS ON ℓ1

초록

Let n ∈ N, n ≥ 2. A continuous n-linear form T on a Banach space E is called norm-peak if there is unique (x<inf>1</inf>, …, x<inf>n</inf>) ∈ En such that ‖x<inf>1</inf>‖ = · · · = ‖x<inf>n</inf>‖ = 1 and T attains its norm only at (±x<inf>1</inf>, …, ±x<inf>n</inf>). In this paper, we characterize the norm-peak multilinear forms on ℓ<inf>1</inf>. © 2024, Canadian University of Dubai. All rights reserved.

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