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ON THE REPRESENTATION OF MULTI-IDEALS BY TENSOR NORMS

Part of: Measures, integration, derivative, holomorphy

Published online by Cambridge University Press:  09 February 2011

GERALDO BOTELHO ,
ERHAN ÇALIŞKAN  and
DANIEL PELLEGRINO
GERALDO BOTELHO*
Affiliation:
Faculdade de Matemática, Universidade Federal de Uberlândia, 38.400-902 Uberlândia, Brazil (email: botelho@ufu.br)
ERHAN ÇALIŞKAN
Affiliation:
Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Davutpaşa Kampüsü, 34210 Esenler, İstanbul, Türkíye (email: caliskan@yildiz.edu.tr)
DANIEL PELLEGRINO
Affiliation:
Departamento de Matemática, Universidade Federal da Paraíba, 58.051-900 João Pessoa, Brazil (email: dmpellegrino@gmail.com)
*
✉For correspondence; e-mail: botelho@ufu.br
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Abstract

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A tensor norm β=(βn)∞n=1 is smooth if the natural correspondence where 𝕂=ℝ or ℂ, is always an isometric isomorphism. In this paper we study the representation of multi-ideals and of ideals of multilinear forms by smooth tensor norms.

Keywords

multi-idealstensor norms

MSC classification

Secondary: 46G25: (Spaces of) multilinear mappings, polynomials
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 90 , Issue 2 , April 2011 , pp. 253 - 269
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

Geraldo Botelho was supported by CNPq Grant 306981/2008-4; Daniel Pellegrino was supported by CNPq Grant 620108/2008-8 (Edital Casadinho) and CNPq Grant 301237/2009-3.

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