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 relationship 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...
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
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Proyecciones Journal of Mathematics
2014
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/2764 |
| _version_ | 1789406323390021632 |
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| author | Harikrishnan, P.K. Lafuerza Guillén, Bernardo Ravindran, K.T. |
| author_facet | Harikrishnan, P.K. Lafuerza Guillén, Bernardo Ravindran, K.T. |
| author_sort | Harikrishnan, P.K. |
| collection | DSpace |
| description | In this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationship 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 2-normed spaces. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-2764 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2014 |
| publisher | Proyecciones Journal of Mathematics |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-27642023-04-12T19:36:40Z Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces Harikrishnan, P.K. Lafuerza Guillén, Bernardo Ravindran, K.T. Mathematics Probabilistic Normed Spaces In this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationship 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 2-normed spaces. 2014-06-17T08:37:09Z 2014-06-17T08:37:09Z 2011-12 info:eu-repo/semantics/article Vol. 30, No 3, pp. 319-327 0716-0917 e-ISSN 0717-6279 http://hdl.handle.net/10835/2764 en Version Electrónica: www.scielo.cl info:eu-repo/semantics/openAccess Proyecciones Journal of Mathematics December 2011 (Universidad Católica del Norte-Antofagasta-Chile) |
| spellingShingle | Mathematics Probabilistic Normed Spaces Harikrishnan, P.K. Lafuerza Guillén, Bernardo Ravindran, K.T. Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces |
| title | 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_short | Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces |
| title_sort | accretive operators and banach alaoglu theorem in linear 2-normed spaces |
| topic | Mathematics Probabilistic Normed Spaces |
| url | http://hdl.handle.net/10835/2764 |
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