Accretive operators and Banach Alaoglu theorem in Linear 2-normed spaces

In this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationships and the various aspects of accretive, m-accretive and maximal accretive operators. We prove the analogous of Banach-Alaoglu theorem in linear 2- normed spaces, obtaining an equivalen...

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Autores principales: Harikrishnan,P. K, Guillén,Bernardo La Fuerza, Ravindran,K. T
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2011
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300004
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spelling oai:scielo:S0716-091720110003000042012-06-18Accretive operators and Banach Alaoglu theorem in Linear 2-normed spacesHarikrishnan,P. KGuillén,Bernardo La FuerzaRavindran,K. T Linear 2-normed spaces sequentially closed accretive operators weak* compact,homeomorphism Banach Alaoglu theorem In this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationships and the various aspects of accretive, m-accretive and maximal accretive operators. We prove the analogous of Banach-Alaoglu theorem in linear 2- normed spaces, obtaining an equivalent definition for accretive operators in linear 2-normed spaces.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.30 n.3 20112011-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300004en10.4067/S0716-09172011000300004
institution Scielo Chile
collection Scielo Chile
language English
topic Linear 2-normed spaces
sequentially closed
accretive operators
weak* compact,homeomorphism
Banach Alaoglu theorem
spellingShingle Linear 2-normed spaces
sequentially closed
accretive operators
weak* compact,homeomorphism
Banach Alaoglu theorem
Harikrishnan,P. K
Guillén,Bernardo La Fuerza
Ravindran,K. T
Accretive operators and Banach Alaoglu theorem in Linear 2-normed spaces
description In this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationships and the various aspects of accretive, m-accretive and maximal accretive operators. We prove the analogous of Banach-Alaoglu theorem in linear 2- normed spaces, obtaining an equivalent definition for accretive operators in linear 2-normed spaces.
author Harikrishnan,P. K
Guillén,Bernardo La Fuerza
Ravindran,K. T
author_facet Harikrishnan,P. K
Guillén,Bernardo La Fuerza
Ravindran,K. T
author_sort Harikrishnan,P. K
title Accretive operators and Banach Alaoglu theorem in Linear 2-normed spaces
title_short Accretive operators and Banach Alaoglu theorem in Linear 2-normed spaces
title_full Accretive operators and Banach Alaoglu theorem in Linear 2-normed spaces
title_fullStr Accretive operators and Banach Alaoglu theorem in Linear 2-normed spaces
title_full_unstemmed Accretive operators and Banach Alaoglu theorem in Linear 2-normed spaces
title_sort accretive operators and banach alaoglu theorem in linear 2-normed spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2011
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300004
work_keys_str_mv AT harikrishnanpk accretiveoperatorsandbanachalaoglutheoreminlinear2normedspaces
AT guillenbernardolafuerza accretiveoperatorsandbanachalaoglutheoreminlinear2normedspaces
AT ravindrankt accretiveoperatorsandbanachalaoglutheoreminlinear2normedspaces
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