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, D., Dimant, V., Muro, S., Pinasco, D.
Formato: JOUR
Materias:
Absolutely summing operators
Multilinear operators
Linear algebra
Complex vector space
Integral formulas
Limit orders
Stable measures
Vector spaces
Acceso en línea: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 todo:paper_00243795_v478_n_p274_Carando
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spelling todo:paper_00243795_v478_n_p274_Carando2023-10-03T14:34:48Z An integral formula for multiple summing norms of operators Carando, D. Dimant, V. Muro, S. Pinasco, D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, D.
Dimant, V.
Muro, S.
Pinasco, D.
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.
format JOUR
author Carando, D.
Dimant, V.
Muro, S.
Pinasco, D.
author_facet Carando, D.
Dimant, V.
Muro, S.
Pinasco, D.
author_sort Carando, D.
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
url http://hdl.handle.net/20.500.12110/paper_00243795_v478_n_p274_Carando
work_keys_str_mv AT carandod anintegralformulaformultiplesummingnormsofoperators
AT dimantv anintegralformulaformultiplesummingnormsofoperators
AT muros anintegralformulaformultiplesummingnormsofoperators
AT pinascod anintegralformulaformultiplesummingnormsofoperators
AT carandod integralformulaformultiplesummingnormsofoperators
AT dimantv integralformulaformultiplesummingnormsofoperators
AT muros integralformulaformultiplesummingnormsofoperators
AT pinascod integralformulaformultiplesummingnormsofoperators
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