Geometry of multilinear forms on l1

Sung Guen Kim

doi:10.12697/ACUTM.2021.25.04

Geometry of multilinear forms on l₁

Sung Guen Kim

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We characterize extreme, exposed and smooth points in the Banach space L(ⁿ E) of continuous n-linear forms on E, and in its sub-space L_s(ⁿ E) of symmetric n-linear forms on E when E = l₁ and E = l^m1 for n, m ∈ N with n, m ≥ 2.

Original language	English
Pages (from-to)	57-66
Number of pages	10
Journal	Acta et Commentationes Universitatis Tartuensis de Mathematica
Volume	25
Issue number	1
DOIs	https://doi.org/10.12697/ACUTM.2021.25.04
State	Published - 9 Aug 2021

Keywords

Exposed points and smooth points
Extreme points

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10.12697/ACUTM.2021.25.04

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abstract = "We characterize extreme, exposed and smooth points in the Banach space L(n E) of continuous n-linear forms on E, and in its sub-space Ls(n E) of symmetric n-linear forms on E when E = l1 and E = lm1 for n, m ∈ N with n, m ≥ 2.",

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AB - We characterize extreme, exposed and smooth points in the Banach space L(n E) of continuous n-linear forms on E, and in its sub-space Ls(n E) of symmetric n-linear forms on E when E = l1 and E = lm1 for n, m ∈ N with n, m ≥ 2.

KW - Exposed points and smooth points

KW - Extreme points

UR - https://www.scopus.com/pages/publications/85121028947

U2 - 10.12697/ACUTM.2021.25.04

DO - 10.12697/ACUTM.2021.25.04

M3 - Article

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JO - Acta et Commentationes Universitatis Tartuensis de Mathematica

JF - Acta et Commentationes Universitatis Tartuensis de Mathematica

IS - 1

ER -

Geometry of multilinear forms on l₁

Abstract

Keywords

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