Dergiler / Constructive mathematical analysis (Online) / 2022 / Cilt: 5 - Sayı: 1

Norm attaining multilinear forms on the spaces c0 or l1

Norm attaining multilinear forms on the spaces c0 or l1

Sung Guen KIM

Sayfa
1–6
DOI
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Abstract

T 2 L(nE) is called a norming attaining if there are x1; : : : ; xn 2 E such that kx1k == kxnk = 1 and jT(x1; : : : ; xn)j = kTk; where L(nE) denotes the space of all continuous n-linear forms on E: We investigate norm attaining multilinear forms on c0 or l1: