Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials

We introduce the concepts of Cohen positive strongly p-summing and positive p-dominated m-homogeneous polynomials. The version of Pietsch’s domination theorem for the first class among other results and a Bu-type theorem is proved, as well as some inclusions with other known spaces. Moreover, we pre...

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Autores principales:	Halima Hamdi, Samuel García-Hernández, Amar Belacel, Djamel Ouchenane, Sulima Ahmed Zubair
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/bbf0b470bf5848a6a3f65981a673e209
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spelling	oai:doaj.org-article:bbf0b470bf5848a6a3f65981a673e2092021-11-22T01:09:35ZCohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials2314-478510.1155/2021/5495605https://doaj.org/article/bbf0b470bf5848a6a3f65981a673e2092021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/5495605https://doaj.org/toc/2314-4785We introduce the concepts of Cohen positive strongly p-summing and positive p-dominated m-homogeneous polynomials. The version of Pietsch’s domination theorem for the first class among other results and a Bu-type theorem is proved, as well as some inclusions with other known spaces. Moreover, we present a characterization of these classes in tensor terms.Halima HamdiSamuel García-HernándezAmar BelacelDjamel OuchenaneSulima Ahmed ZubairHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Halima Hamdi Samuel García-Hernández Amar Belacel Djamel Ouchenane Sulima Ahmed Zubair Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials
description	We introduce the concepts of Cohen positive strongly p-summing and positive p-dominated m-homogeneous polynomials. The version of Pietsch’s domination theorem for the first class among other results and a Bu-type theorem is proved, as well as some inclusions with other known spaces. Moreover, we present a characterization of these classes in tensor terms.
format	article
author	Halima Hamdi Samuel García-Hernández Amar Belacel Djamel Ouchenane Sulima Ahmed Zubair
author_facet	Halima Hamdi Samuel García-Hernández Amar Belacel Djamel Ouchenane Sulima Ahmed Zubair
author_sort	Halima Hamdi
title	Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials
title_short	Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials
title_full	Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials
title_fullStr	Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials
title_full_unstemmed	Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials
title_sort	cohen positive strongly p-summing and p-dominated m-homogeneous polynomials
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/bbf0b470bf5848a6a3f65981a673e209
work_keys_str_mv	AT halimahamdi cohenpositivestronglypsummingandpdominatedmhomogeneouspolynomials AT samuelgarciahernandez cohenpositivestronglypsummingandpdominatedmhomogeneouspolynomials AT amarbelacel cohenpositivestronglypsummingandpdominatedmhomogeneouspolynomials AT djamelouchenane cohenpositivestronglypsummingandpdominatedmhomogeneouspolynomials AT sulimaahmedzubair cohenpositivestronglypsummingandpdominatedmhomogeneouspolynomials
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Cohen Positive Strongly p-Summing and p-Dominated m-Homogeneous Polynomials

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