E′ and its relation with vector-valued functions on E

We study the relation between different spaces of vector-valued polynomials and analytic functions over dual-isomorphic Banach spaces. Under conditions of regularity on E and F, we show that the spaces of X-valued n-homogeneous polynomials and analytic functions of bounded type on E and F are isomor...

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Autores principales:	Carando, D., Lassalle, S.
Formato:	JOUR
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00042080_v42_n2_p283_Carando
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00042080_v42_n2_p283_Carando
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spelling	todo:paper_00042080_v42_n2_p283_Carando2023-10-03T13:57:12Z E′ and its relation with vector-valued functions on E Carando, D. Lassalle, S. We study the relation between different spaces of vector-valued polynomials and analytic functions over dual-isomorphic Banach spaces. Under conditions of regularity on E and F, we show that the spaces of X-valued n-homogeneous polynomials and analytic functions of bounded type on E and F are isomorphic whenever X is a dual space. Also, we prove that many of the usual subspaces of polynomials and analytic functions on E and F are isomorphic without conditions on the involved spaces. Fil:Carando, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Lassalle, 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_00042080_v42_n2_p283_Carando
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description	We study the relation between different spaces of vector-valued polynomials and analytic functions over dual-isomorphic Banach spaces. Under conditions of regularity on E and F, we show that the spaces of X-valued n-homogeneous polynomials and analytic functions of bounded type on E and F are isomorphic whenever X is a dual space. Also, we prove that many of the usual subspaces of polynomials and analytic functions on E and F are isomorphic without conditions on the involved spaces.
format	JOUR
author	Carando, D. Lassalle, S.
spellingShingle	Carando, D. Lassalle, S. E′ and its relation with vector-valued functions on E
author_facet	Carando, D. Lassalle, S.
author_sort	Carando, D.
title	E′ and its relation with vector-valued functions on E
title_short	E′ and its relation with vector-valued functions on E
title_full	E′ and its relation with vector-valued functions on E
title_fullStr	E′ and its relation with vector-valued functions on E
title_full_unstemmed	E′ and its relation with vector-valued functions on E
title_sort	e′ and its relation with vector-valued functions on e
url	http://hdl.handle.net/20.500.12110/paper_00042080_v42_n2_p283_Carando
work_keys_str_mv	AT carandod eanditsrelationwithvectorvaluedfunctionsone AT lassalles eanditsrelationwithvectorvaluedfunctionsone
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E′ and its relation with vector-valued functions on E

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