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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todo:paper_00269255_v165_n1_p1_Carando2023-10-03T14:37:23Z Every Banach ideal of polynomials is compatible with an operator ideal Carando, D. Dimant, V. Muro, S. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, D. Dimant, V. Muro, S. 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. |
| format |
JOUR |
| author |
Carando, D. Dimant, V. Muro, S. |
| author_facet |
Carando, D. Dimant, V. Muro, S. |
| author_sort |
Carando, D. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00269255_v165_n1_p1_Carando |
| work_keys_str_mv |
AT carandod everybanachidealofpolynomialsiscompatiblewithanoperatorideal AT dimantv everybanachidealofpolynomialsiscompatiblewithanoperatorideal AT muros everybanachidealofpolynomialsiscompatiblewithanoperatorideal |
| _version_ |
1782024924886466560 |