Geometry of multilinear forms-Reference-Cited by-同舟云学术

Geometry of multilinear forms

Published:2019-02-21 Issue:02 Volume:22 Page:1950011
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Cavalcante W. V.¹,Pellegrino D. M.²,Teixeira E. V.³

Affiliation:

1. Departamento de Matemática, Universidade Federal de Pernambuco, 50.740-560, Recife, PE, Brazil

2. Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900, João Pessoa, Brazil

3. Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA

Abstract

We develop a constructive process which determines all extreme points of the unit ball in the space of [Formula: see text]-linear forms, [Formula: see text] Our method provides a full characterization of the geometry of that space through finitely many elementary steps, and thus it can be extensively applied in both computational as well as theoretical problems; few consequences are also derived in this paper.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199719500111

Reference20 articles.

1. THE GROTHENDIECK CONSTANT IS STRICTLY SMALLER THAN KRIVINE’S BOUND

2. Analysis in Integer and Fractional Dimensions

3. On the Absolute Convergence of Dirichlet Series

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