Accretive operators and banach alaoglu theorem in linear 2-normed spaces

• Harikrishnan, P. K. ^[2] ; De La Fuerza, Bernardo ^[1] ; Ravindran, K. T. ^[3]
  1. [1] Universidad de Almería

     Universidad de Almería

     Almería, España

     
  2. [2] Manipal Institute of Technology.
  3. [3] Payyanur College.

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• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 30, Nº. 3, 2011, págs. 319-327
• Idioma: inglés
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  • 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.