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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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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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 |
| _version_ |
1718439778723037184 |