Geometry of multilinear forms on l1

  • Kim, Sung Guen
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초록

We characterize extreme, exposed and smooth points in the Banach space L(E-n) of continuous n-linear forms on E, and in its sub-space L-s(E-n) of symmetric n-linear forms on E when E = l(1) and E = l(1)(m) for n, m is an element of N with n, m >= 2.

키워드

Extreme points; exposed points and smooth points; EXPOSED 2-HOMOGENEOUS POLYNOMIALS; EXTREME BILINEAR-FORMS; UNIT BALL; POINTS; SPACE
제목
Geometry of multilinear forms on l1
저자
Kim, Sung Guen
DOI
10.12697/ACUTM.2021.25.04
발행일
2021-06
유형
Article
저널명
Acta et Commentationes Universitatis Tartuensis de Mathematica
권
25
호
1
페이지
57 ~ 66