Every Banach ideal of polynomials is compatible with an operator ideal

We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polynomials belongs to a coherent sequence of ideals of k-homogeneous polynomials. © 2010 Springer-Verlag...

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Detalles Bibliográficos
Autores principales: Carando, Daniel German, Dimant, Verónica, Muro, Santiago
Publicado: 2012
Materias:
Operator ideals
Polynomial ideals
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v165_n1_p1_Carando
http://hdl.handle.net/20.500.12110/paper_00269255_v165_n1_p1_Carando
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_00269255_v165_n1_p1_Carando2023-06-08T14:54:04Z Every Banach ideal of polynomials is compatible with an operator ideal Carando, Daniel German Dimant, Verónica Muro, Santiago Operator ideals Polynomial ideals We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polynomials belongs to a coherent sequence of ideals of k-homogeneous polynomials. © 2010 Springer-Verlag. 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. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v165_n1_p1_Carando http://hdl.handle.net/20.500.12110/paper_00269255_v165_n1_p1_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 Operator ideals
Polynomial ideals
spellingShingle Operator ideals
Polynomial ideals
Carando, Daniel German
Dimant, Verónica
Muro, Santiago
Every Banach ideal of polynomials is compatible with an operator ideal
topic_facet Operator ideals
Polynomial ideals
description We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polynomials belongs to a coherent sequence of ideals of k-homogeneous polynomials. © 2010 Springer-Verlag.
author Carando, Daniel German
Dimant, Verónica
Muro, Santiago
author_facet Carando, Daniel German
Dimant, Verónica
Muro, Santiago
author_sort Carando, Daniel German
title Every Banach ideal of polynomials is compatible with an operator ideal
title_short Every Banach ideal of polynomials is compatible with an operator ideal
title_full Every Banach ideal of polynomials is compatible with an operator ideal
title_fullStr Every Banach ideal of polynomials is compatible with an operator ideal
title_full_unstemmed Every Banach ideal of polynomials is compatible with an operator ideal
title_sort every banach ideal of polynomials is compatible with an operator ideal
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00269255_v165_n1_p1_Carando
http://hdl.handle.net/20.500.12110/paper_00269255_v165_n1_p1_Carando
work_keys_str_mv AT carandodanielgerman everybanachidealofpolynomialsiscompatiblewithanoperatorideal
AT dimantveronica everybanachidealofpolynomialsiscompatiblewithanoperatorideal
AT murosantiago everybanachidealofpolynomialsiscompatiblewithanoperatorideal
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