An integral formula for multiple summing norms of operators

We prove that the multiple summing norm of multilinear operators defined on some n-dimensional real or complex vector spaces with the p-norm may be written as an integral with respect to stable measures. As an application we show inclusion and coincidence results for multiple summing mappings. We al...

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Autores principales: Carando, Daniel German, Dimant, Verónica, Muro, Santiago, Pinasco, Damián
Publicado: 2015
Materias:
Absolutely summing operators
Multilinear operators
Linear algebra
Complex vector space
Integral formulas
Limit orders
Stable measures
Vector spaces
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v478_n_p274_Carando
http://hdl.handle.net/20.500.12110/paper_00243795_v478_n_p274_Carando
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00243795_v478_n_p274_Carando
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spelling paper:paper_00243795_v478_n_p274_Carando2023-06-08T14:52:08Z An integral formula for multiple summing norms of operators Carando, Daniel German Dimant, Verónica Muro, Santiago Pinasco, Damián Absolutely summing operators Multilinear operators Linear algebra Complex vector space Integral formulas Limit orders Multilinear operators Stable measures Vector spaces We prove that the multiple summing norm of multilinear operators defined on some n-dimensional real or complex vector spaces with the p-norm may be written as an integral with respect to stable measures. As an application we show inclusion and coincidence results for multiple summing mappings. We also present some contraction properties and compute or estimate the limit orders of this class of operators. © 2015 Published by Elsevier Inc. Fil:Carando, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Dimant, V. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Muro, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Pinasco, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v478_n_p274_Carando http://hdl.handle.net/20.500.12110/paper_00243795_v478_n_p274_Carando
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Absolutely summing operators
Multilinear operators
Linear algebra
Complex vector space
Integral formulas
Limit orders
Multilinear operators
Stable measures
Vector spaces
spellingShingle Absolutely summing operators
Multilinear operators
Linear algebra
Complex vector space
Integral formulas
Limit orders
Multilinear operators
Stable measures
Vector spaces
Carando, Daniel German
Dimant, Verónica
Muro, Santiago
Pinasco, Damián
An integral formula for multiple summing norms of operators
topic_facet Absolutely summing operators
Multilinear operators
Linear algebra
Complex vector space
Integral formulas
Limit orders
Multilinear operators
Stable measures
Vector spaces
description We prove that the multiple summing norm of multilinear operators defined on some n-dimensional real or complex vector spaces with the p-norm may be written as an integral with respect to stable measures. As an application we show inclusion and coincidence results for multiple summing mappings. We also present some contraction properties and compute or estimate the limit orders of this class of operators. © 2015 Published by Elsevier Inc.
author Carando, Daniel German
Dimant, Verónica
Muro, Santiago
Pinasco, Damián
author_facet Carando, Daniel German
Dimant, Verónica
Muro, Santiago
Pinasco, Damián
author_sort Carando, Daniel German
title An integral formula for multiple summing norms of operators
title_short An integral formula for multiple summing norms of operators
title_full An integral formula for multiple summing norms of operators
title_fullStr An integral formula for multiple summing norms of operators
title_full_unstemmed An integral formula for multiple summing norms of operators
title_sort integral formula for multiple summing norms of operators
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v478_n_p274_Carando
http://hdl.handle.net/20.500.12110/paper_00243795_v478_n_p274_Carando
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AT pinascodamian anintegralformulaformultiplesummingnormsofoperators
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