A generalization of the Stein-Rosenberg theorem to Banach spaces

In the first part of this note we prove a generalization of the Stein-Rosenberg theorem; the context is that of real Banach spaces with a normal reproducing cone and the operators involved are positive and completely continuous. Our generalization of the Stein-Rosenberg theorem improves the modern v...

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Autor principal: Milaszewicz, Juan Pedro
Publicado: 1980
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Subject Classifications: AMS(MOS):65F10, 47B55, CR: 5.14
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0029599X_v34_n4_p403_Milaszewicz
http://hdl.handle.net/20.500.12110/paper_0029599X_v34_n4_p403_Milaszewicz
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0029599X_v34_n4_p403_Milaszewicz
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spelling paper:paper_0029599X_v34_n4_p403_Milaszewicz2023-06-08T14:55:28Z A generalization of the Stein-Rosenberg theorem to Banach spaces Milaszewicz, Juan Pedro Subject Classifications: AMS(MOS):65F10, 47B55, CR: 5.14 In the first part of this note we prove a generalization of the Stein-Rosenberg theorem; the context is that of real Banach spaces with a normal reproducing cone and the operators involved are positive and completely continuous. Our generalization of the Stein-Rosenberg theorem improves the modern version of it as stated by F. Robert in [5, §2]. In the second part, we discuss briefly how our results are related to other versions of the Stein-Rosenberg theorem. In the last section we describe a situation to which the results in the first part can be applied. © 1980 Springer-Verlag. Fil:Milaszewicz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1980 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0029599X_v34_n4_p403_Milaszewicz http://hdl.handle.net/20.500.12110/paper_0029599X_v34_n4_p403_Milaszewicz
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Subject Classifications: AMS(MOS):65F10, 47B55, CR: 5.14
spellingShingle Subject Classifications: AMS(MOS):65F10, 47B55, CR: 5.14
Milaszewicz, Juan Pedro
A generalization of the Stein-Rosenberg theorem to Banach spaces
topic_facet Subject Classifications: AMS(MOS):65F10, 47B55, CR: 5.14
description In the first part of this note we prove a generalization of the Stein-Rosenberg theorem; the context is that of real Banach spaces with a normal reproducing cone and the operators involved are positive and completely continuous. Our generalization of the Stein-Rosenberg theorem improves the modern version of it as stated by F. Robert in [5, §2]. In the second part, we discuss briefly how our results are related to other versions of the Stein-Rosenberg theorem. In the last section we describe a situation to which the results in the first part can be applied. © 1980 Springer-Verlag.
author Milaszewicz, Juan Pedro
author_facet Milaszewicz, Juan Pedro
author_sort Milaszewicz, Juan Pedro
title A generalization of the Stein-Rosenberg theorem to Banach spaces
title_short A generalization of the Stein-Rosenberg theorem to Banach spaces
title_full A generalization of the Stein-Rosenberg theorem to Banach spaces
title_fullStr A generalization of the Stein-Rosenberg theorem to Banach spaces
title_full_unstemmed A generalization of the Stein-Rosenberg theorem to Banach spaces
title_sort generalization of the stein-rosenberg theorem to banach spaces
publishDate 1980
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0029599X_v34_n4_p403_Milaszewicz
http://hdl.handle.net/20.500.12110/paper_0029599X_v34_n4_p403_Milaszewicz
work_keys_str_mv AT milaszewiczjuanpedro ageneralizationofthesteinrosenbergtheoremtobanachspaces
AT milaszewiczjuanpedro generalizationofthesteinrosenbergtheoremtobanachspaces
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